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Finding the Fourth Proportional to 1,702.47, 2,552.41 and 880.22

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Solution

The fourth proportional to 1,702.47, 2,552.41 and 880.22 is: 1,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.47 : 2,552.41 = 880.22 : x
  2. Step 2: Convert to fraction form
    1,702.47/2,552.41 = 880.22/x
  3. Step 3: Cross multiply
    1,702.47x = 2,552.41 × 880.22
  4. Step 4: Simplify right side
    1,702.47x = 2,246,691.46
  5. Step 5: Solve for x
    x = 2,246,691.46/1,702.47
  6. Step 6: Final answer
    x = 1,319.66

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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.