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Finding the Fourth Proportional to 2,737.83, 4,106.76 and 1,177.71

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Solution

The fourth proportional to 2,737.83, 4,106.76 and 1,177.71 is: 1,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.83 : 4,106.76 = 1,177.71 : x
  2. Step 2: Convert to fraction form
    2,737.83/4,106.76 = 1,177.71/x
  3. Step 3: Cross multiply
    2,737.83x = 4,106.76 × 1,177.71
  4. Step 4: Simplify right side
    2,737.83x = 4,836,572.32
  5. Step 5: Solve for x
    x = 4,836,572.32/2,737.83
  6. Step 6: Final answer
    x = 1,766.57

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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.