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Finding the Fourth Proportional to 2,487.09, 3,727.64 and 1,098.86

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Solution

The fourth proportional to 2,487.09, 3,727.64 and 1,098.86 is: 1,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.09 : 3,727.64 = 1,098.86 : x
  2. Step 2: Convert to fraction form
    2,487.09/3,727.64 = 1,098.86/x
  3. Step 3: Cross multiply
    2,487.09x = 3,727.64 × 1,098.86
  4. Step 4: Simplify right side
    2,487.09x = 4,096,130.36
  5. Step 5: Solve for x
    x = 4,096,130.36/2,487.09
  6. Step 6: Final answer
    x = 1,646.96

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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.