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Finding the Fourth Proportional to 2,349.86, 3,240.34 and 1,562.54

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Solution

The fourth proportional to 2,349.86, 3,240.34 and 1,562.54 is: 2,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.86 : 3,240.34 = 1,562.54 : x
  2. Step 2: Convert to fraction form
    2,349.86/3,240.34 = 1,562.54/x
  3. Step 3: Cross multiply
    2,349.86x = 3,240.34 × 1,562.54
  4. Step 4: Simplify right side
    2,349.86x = 5,063,140.76
  5. Step 5: Solve for x
    x = 5,063,140.76/2,349.86
  6. Step 6: Final answer
    x = 2,154.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.