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Finding the Fourth Proportional to 1,486.76, 2,052.30 and 1,014.44

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Solution

The fourth proportional to 1,486.76, 2,052.30 and 1,014.44 is: 1,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.76 : 2,052.30 = 1,014.44 : x
  2. Step 2: Convert to fraction form
    1,486.76/2,052.30 = 1,014.44/x
  3. Step 3: Cross multiply
    1,486.76x = 2,052.30 × 1,014.44
  4. Step 4: Simplify right side
    1,486.76x = 2,081,935.21
  5. Step 5: Solve for x
    x = 2,081,935.21/1,486.76
  6. Step 6: Final answer
    x = 1,400.32

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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.