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Finding the Fourth Proportional to 2,737.28, 3,777.47 and 1,558.41

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Solution

The fourth proportional to 2,737.28, 3,777.47 and 1,558.41 is: 2,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.28 : 3,777.47 = 1,558.41 : x
  2. Step 2: Convert to fraction form
    2,737.28/3,777.47 = 1,558.41/x
  3. Step 3: Cross multiply
    2,737.28x = 3,777.47 × 1,558.41
  4. Step 4: Simplify right side
    2,737.28x = 5,886,839.23
  5. Step 5: Solve for x
    x = 5,886,839.23/2,737.28
  6. Step 6: Final answer
    x = 2,150.62

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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.