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Finding the Fourth Proportional to 1,761.92, 2,643.12 and 895.76

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Solution

The fourth proportional to 1,761.92, 2,643.12 and 895.76 is: 1,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.92 : 2,643.12 = 895.76 : x
  2. Step 2: Convert to fraction form
    1,761.92/2,643.12 = 895.76/x
  3. Step 3: Cross multiply
    1,761.92x = 2,643.12 × 895.76
  4. Step 4: Simplify right side
    1,761.92x = 2,367,601.17
  5. Step 5: Solve for x
    x = 2,367,601.17/1,761.92
  6. Step 6: Final answer
    x = 1,343.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.