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Finding the Fourth Proportional to 2,741.47, 3,783.14 and 1,562.92

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Solution

The fourth proportional to 2,741.47, 3,783.14 and 1,562.92 is: 2,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.47 : 3,783.14 = 1,562.92 : x
  2. Step 2: Convert to fraction form
    2,741.47/3,783.14 = 1,562.92/x
  3. Step 3: Cross multiply
    2,741.47x = 3,783.14 × 1,562.92
  4. Step 4: Simplify right side
    2,741.47x = 5,912,737.35
  5. Step 5: Solve for x
    x = 5,912,737.35/2,741.47
  6. Step 6: Final answer
    x = 2,156.78

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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.