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Finding the Fourth Proportional to 2,397.74, 3,592.08 and 2,140.43

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Solution

The fourth proportional to 2,397.74, 3,592.08 and 2,140.43 is: 3,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.74 : 3,592.08 = 2,140.43 : x
  2. Step 2: Convert to fraction form
    2,397.74/3,592.08 = 2,140.43/x
  3. Step 3: Cross multiply
    2,397.74x = 3,592.08 × 2,140.43
  4. Step 4: Simplify right side
    2,397.74x = 7,688,577.83
  5. Step 5: Solve for x
    x = 7,688,577.83/2,397.74
  6. Step 6: Final answer
    x = 3,206.60

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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.