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Finding the Fourth Proportional to 1,702.24, 2,551.60 and 662

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Solution

The fourth proportional to 1,702.24, 2,551.60 and 662 is: 992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.24 : 2,551.60 = 662 : x
  2. Step 2: Convert to fraction form
    1,702.24/2,551.60 = 662/x
  3. Step 3: Cross multiply
    1,702.24x = 2,551.60 × 662
  4. Step 4: Simplify right side
    1,702.24x = 1,689,159.20
  5. Step 5: Solve for x
    x = 1,689,159.20/1,702.24
  6. Step 6: Final answer
    x = 992.32

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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.