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Finding the Fourth Proportional to 2,769.49, 4,154.24 and 1,125.65

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Solution

The fourth proportional to 2,769.49, 4,154.24 and 1,125.65 is: 1,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.49 : 4,154.24 = 1,125.65 : x
  2. Step 2: Convert to fraction form
    2,769.49/4,154.24 = 1,125.65/x
  3. Step 3: Cross multiply
    2,769.49x = 4,154.24 × 1,125.65
  4. Step 4: Simplify right side
    2,769.49x = 4,676,227.12
  5. Step 5: Solve for x
    x = 4,676,227.12/2,769.49
  6. Step 6: Final answer
    x = 1,688.48

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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.