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Finding the Fourth Proportional to 2,507.72, 3,460.98 and 1,513.04

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Solution

The fourth proportional to 2,507.72, 3,460.98 and 1,513.04 is: 2,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.72 : 3,460.98 = 1,513.04 : x
  2. Step 2: Convert to fraction form
    2,507.72/3,460.98 = 1,513.04/x
  3. Step 3: Cross multiply
    2,507.72x = 3,460.98 × 1,513.04
  4. Step 4: Simplify right side
    2,507.72x = 5,236,601.18
  5. Step 5: Solve for x
    x = 5,236,601.18/2,507.72
  6. Step 6: Final answer
    x = 2,088.19

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