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Finding the Fourth Proportional to 2,737.30, 4,106.68 and 789.66

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Solution

The fourth proportional to 2,737.30, 4,106.68 and 789.66 is: 1,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.30 : 4,106.68 = 789.66 : x
  2. Step 2: Convert to fraction form
    2,737.30/4,106.68 = 789.66/x
  3. Step 3: Cross multiply
    2,737.30x = 4,106.68 × 789.66
  4. Step 4: Simplify right side
    2,737.30x = 3,242,880.93
  5. Step 5: Solve for x
    x = 3,242,880.93/2,737.30
  6. Step 6: Final answer
    x = 1,184.70

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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.