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Finding the Fourth Proportional to 2,580.89, 3,871.53 and 732.02

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Solution

The fourth proportional to 2,580.89, 3,871.53 and 732.02 is: 1,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.89 : 3,871.53 = 732.02 : x
  2. Step 2: Convert to fraction form
    2,580.89/3,871.53 = 732.02/x
  3. Step 3: Cross multiply
    2,580.89x = 3,871.53 × 732.02
  4. Step 4: Simplify right side
    2,580.89x = 2,834,018.03
  5. Step 5: Solve for x
    x = 2,834,018.03/2,580.89
  6. Step 6: Final answer
    x = 1,098.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.