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Finding the Fourth Proportional to 1,701.74, 2,552.97 and 531.83

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Solution

The fourth proportional to 1,701.74, 2,552.97 and 531.83 is: 797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.74 : 2,552.97 = 531.83 : x
  2. Step 2: Convert to fraction form
    1,701.74/2,552.97 = 531.83/x
  3. Step 3: Cross multiply
    1,701.74x = 2,552.97 × 531.83
  4. Step 4: Simplify right side
    1,701.74x = 1,357,735.26
  5. Step 5: Solve for x
    x = 1,357,735.26/1,701.74
  6. Step 6: Final answer
    x = 797.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.