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Finding the Fourth Proportional to 2,508.76, 3,461.68 and 1,460.64

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Solution

The fourth proportional to 2,508.76, 3,461.68 and 1,460.64 is: 2,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.76 : 3,461.68 = 1,460.64 : x
  2. Step 2: Convert to fraction form
    2,508.76/3,461.68 = 1,460.64/x
  3. Step 3: Cross multiply
    2,508.76x = 3,461.68 × 1,460.64
  4. Step 4: Simplify right side
    2,508.76x = 5,056,268.28
  5. Step 5: Solve for x
    x = 5,056,268.28/2,508.76
  6. Step 6: Final answer
    x = 2,015.45

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.