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Finding the Fourth Proportional to 2,472.32, 3,703.92 and 1,692.32

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Solution

The fourth proportional to 2,472.32, 3,703.92 and 1,692.32 is: 2,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.32 : 3,703.92 = 1,692.32 : x
  2. Step 2: Convert to fraction form
    2,472.32/3,703.92 = 1,692.32/x
  3. Step 3: Cross multiply
    2,472.32x = 3,703.92 × 1,692.32
  4. Step 4: Simplify right side
    2,472.32x = 6,268,217.89
  5. Step 5: Solve for x
    x = 6,268,217.89/2,472.32
  6. Step 6: Final answer
    x = 2,535.36

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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.