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Finding the Fourth Proportional to 1,702.68, 2,549.10 and 997.76

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Solution

The fourth proportional to 1,702.68, 2,549.10 and 997.76 is: 1,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.68 : 2,549.10 = 997.76 : x
  2. Step 2: Convert to fraction form
    1,702.68/2,549.10 = 997.76/x
  3. Step 3: Cross multiply
    1,702.68x = 2,549.10 × 997.76
  4. Step 4: Simplify right side
    1,702.68x = 2,543,377.27
  5. Step 5: Solve for x
    x = 2,543,377.27/1,702.68
  6. Step 6: Final answer
    x = 1,493.75

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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.