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Finding the Fourth Proportional to 1,657.97, 2,486.80 and 562.28

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Solution

The fourth proportional to 1,657.97, 2,486.80 and 562.28 is: 843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.97 : 2,486.80 = 562.28 : x
  2. Step 2: Convert to fraction form
    1,657.97/2,486.80 = 562.28/x
  3. Step 3: Cross multiply
    1,657.97x = 2,486.80 × 562.28
  4. Step 4: Simplify right side
    1,657.97x = 1,398,277.90
  5. Step 5: Solve for x
    x = 1,398,277.90/1,657.97
  6. Step 6: Final answer
    x = 843.37

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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.