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Finding the Fourth Proportional to 2,507.76, 3,460.05 and 1,459.08

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Solution

The fourth proportional to 2,507.76, 3,460.05 and 1,459.08 is: 2,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.76 : 3,460.05 = 1,459.08 : x
  2. Step 2: Convert to fraction form
    2,507.76/3,460.05 = 1,459.08/x
  3. Step 3: Cross multiply
    2,507.76x = 3,460.05 × 1,459.08
  4. Step 4: Simplify right side
    2,507.76x = 5,048,489.75
  5. Step 5: Solve for x
    x = 5,048,489.75/2,507.76
  6. Step 6: Final answer
    x = 2,013.15

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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.