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Finding the Fourth Proportional to 1,809.92, 2,715.36 and 769.96

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Solution

The fourth proportional to 1,809.92, 2,715.36 and 769.96 is: 1,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.92 : 2,715.36 = 769.96 : x
  2. Step 2: Convert to fraction form
    1,809.92/2,715.36 = 769.96/x
  3. Step 3: Cross multiply
    1,809.92x = 2,715.36 × 769.96
  4. Step 4: Simplify right side
    1,809.92x = 2,090,718.59
  5. Step 5: Solve for x
    x = 2,090,718.59/1,809.92
  6. Step 6: Final answer
    x = 1,155.14

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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.