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Finding the Fourth Proportional to 2,397.47, 3,601.65 and 2,069.42

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Solution

The fourth proportional to 2,397.47, 3,601.65 and 2,069.42 is: 3,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.47 : 3,601.65 = 2,069.42 : x
  2. Step 2: Convert to fraction form
    2,397.47/3,601.65 = 2,069.42/x
  3. Step 3: Cross multiply
    2,397.47x = 3,601.65 × 2,069.42
  4. Step 4: Simplify right side
    2,397.47x = 7,453,326.54
  5. Step 5: Solve for x
    x = 7,453,326.54/2,397.47
  6. Step 6: Final answer
    x = 3,108.83

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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.