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Finding the Fourth Proportional to 2,457.72, 3,683.52 and 1,287.12

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Solution

The fourth proportional to 2,457.72, 3,683.52 and 1,287.12 is: 1,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.72 : 3,683.52 = 1,287.12 : x
  2. Step 2: Convert to fraction form
    2,457.72/3,683.52 = 1,287.12/x
  3. Step 3: Cross multiply
    2,457.72x = 3,683.52 × 1,287.12
  4. Step 4: Simplify right side
    2,457.72x = 4,741,132.26
  5. Step 5: Solve for x
    x = 4,741,132.26/2,457.72
  6. Step 6: Final answer
    x = 1,929.08

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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.