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Finding the Fourth Proportional to 2,397.48, 3,591.64 and 1,407.86

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Solution

The fourth proportional to 2,397.48, 3,591.64 and 1,407.86 is: 2,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.48 : 3,591.64 = 1,407.86 : x
  2. Step 2: Convert to fraction form
    2,397.48/3,591.64 = 1,407.86/x
  3. Step 3: Cross multiply
    2,397.48x = 3,591.64 × 1,407.86
  4. Step 4: Simplify right side
    2,397.48x = 5,056,526.29
  5. Step 5: Solve for x
    x = 5,056,526.29/2,397.48
  6. Step 6: Final answer
    x = 2,109.10

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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.