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Finding the Fourth Proportional to 2,737.52, 4,106.88 and 789.72

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Solution

The fourth proportional to 2,737.52, 4,106.88 and 789.72 is: 1,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.52 : 4,106.88 = 789.72 : x
  2. Step 2: Convert to fraction form
    2,737.52/4,106.88 = 789.72/x
  3. Step 3: Cross multiply
    2,737.52x = 4,106.88 × 789.72
  4. Step 4: Simplify right side
    2,737.52x = 3,243,288.24
  5. Step 5: Solve for x
    x = 3,243,288.24/2,737.52
  6. Step 6: Final answer
    x = 1,184.75

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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.