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Finding the Fourth Proportional to 2,337.98, 3,510.42 and 1,562.78

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Solution

The fourth proportional to 2,337.98, 3,510.42 and 1,562.78 is: 2,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.98 : 3,510.42 = 1,562.78 : x
  2. Step 2: Convert to fraction form
    2,337.98/3,510.42 = 1,562.78/x
  3. Step 3: Cross multiply
    2,337.98x = 3,510.42 × 1,562.78
  4. Step 4: Simplify right side
    2,337.98x = 5,486,014.17
  5. Step 5: Solve for x
    x = 5,486,014.17/2,337.98
  6. Step 6: Final answer
    x = 2,346.48

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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.