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Finding the Fourth Proportional to 1,702.28, 2,553.41 and 961.56

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Solution

The fourth proportional to 1,702.28, 2,553.41 and 961.56 is: 1,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.28 : 2,553.41 = 961.56 : x
  2. Step 2: Convert to fraction form
    1,702.28/2,553.41 = 961.56/x
  3. Step 3: Cross multiply
    1,702.28x = 2,553.41 × 961.56
  4. Step 4: Simplify right side
    1,702.28x = 2,455,244.15
  5. Step 5: Solve for x
    x = 2,455,244.15/1,702.28
  6. Step 6: Final answer
    x = 1,442.33

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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.