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Finding the Fourth Proportional to 2,766.77, 4,151.89 and 1,123.32

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Solution

The fourth proportional to 2,766.77, 4,151.89 and 1,123.32 is: 1,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.77 : 4,151.89 = 1,123.32 : x
  2. Step 2: Convert to fraction form
    2,766.77/4,151.89 = 1,123.32/x
  3. Step 3: Cross multiply
    2,766.77x = 4,151.89 × 1,123.32
  4. Step 4: Simplify right side
    2,766.77x = 4,663,901.07
  5. Step 5: Solve for x
    x = 4,663,901.07/2,766.77
  6. Step 6: Final answer
    x = 1,685.68

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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.