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Finding the Fourth Proportional to 2,252.70, 3,377.92 and 692.32

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Solution

The fourth proportional to 2,252.70, 3,377.92 and 692.32 is: 1,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.70 : 3,377.92 = 692.32 : x
  2. Step 2: Convert to fraction form
    2,252.70/3,377.92 = 692.32/x
  3. Step 3: Cross multiply
    2,252.70x = 3,377.92 × 692.32
  4. Step 4: Simplify right side
    2,252.70x = 2,338,601.57
  5. Step 5: Solve for x
    x = 2,338,601.57/2,252.70
  6. Step 6: Final answer
    x = 1,038.13

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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.