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Finding the Fourth Proportional to 2,737.84, 4,104.96 and 1,178.80

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Solution

The fourth proportional to 2,737.84, 4,104.96 and 1,178.80 is: 1,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.84 : 4,104.96 = 1,178.80 : x
  2. Step 2: Convert to fraction form
    2,737.84/4,104.96 = 1,178.80/x
  3. Step 3: Cross multiply
    2,737.84x = 4,104.96 × 1,178.80
  4. Step 4: Simplify right side
    2,737.84x = 4,838,926.85
  5. Step 5: Solve for x
    x = 4,838,926.85/2,737.84
  6. Step 6: Final answer
    x = 1,767.42

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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.