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Finding the Fourth Proportional to 1,535.92, 2,299.74 and 1,168.96

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Solution

The fourth proportional to 1,535.92, 2,299.74 and 1,168.96 is: 1,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.92 : 2,299.74 = 1,168.96 : x
  2. Step 2: Convert to fraction form
    1,535.92/2,299.74 = 1,168.96/x
  3. Step 3: Cross multiply
    1,535.92x = 2,299.74 × 1,168.96
  4. Step 4: Simplify right side
    1,535.92x = 2,688,304.07
  5. Step 5: Solve for x
    x = 2,688,304.07/1,535.92
  6. Step 6: Final answer
    x = 1,750.29

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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.