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Finding the Fourth Proportional to 2,692.92, 4,032.46 and 1,521.17

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Solution

The fourth proportional to 2,692.92, 4,032.46 and 1,521.17 is: 2,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.92 : 4,032.46 = 1,521.17 : x
  2. Step 2: Convert to fraction form
    2,692.92/4,032.46 = 1,521.17/x
  3. Step 3: Cross multiply
    2,692.92x = 4,032.46 × 1,521.17
  4. Step 4: Simplify right side
    2,692.92x = 6,134,063.46
  5. Step 5: Solve for x
    x = 6,134,063.46/2,692.92
  6. Step 6: Final answer
    x = 2,277.85

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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.