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Finding the Fourth Proportional to 2,737.43, 4,106.06 and 789.83

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Solution

The fourth proportional to 2,737.43, 4,106.06 and 789.83 is: 1,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.43 : 4,106.06 = 789.83 : x
  2. Step 2: Convert to fraction form
    2,737.43/4,106.06 = 789.83/x
  3. Step 3: Cross multiply
    2,737.43x = 4,106.06 × 789.83
  4. Step 4: Simplify right side
    2,737.43x = 3,243,085.42
  5. Step 5: Solve for x
    x = 3,243,085.42/2,737.43
  6. Step 6: Final answer
    x = 1,184.72

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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.