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Finding the Fourth Proportional to 2,167.60, 3,250.57 and 1,710.76

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Solution

The fourth proportional to 2,167.60, 3,250.57 and 1,710.76 is: 2,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.60 : 3,250.57 = 1,710.76 : x
  2. Step 2: Convert to fraction form
    2,167.60/3,250.57 = 1,710.76/x
  3. Step 3: Cross multiply
    2,167.60x = 3,250.57 × 1,710.76
  4. Step 4: Simplify right side
    2,167.60x = 5,560,945.13
  5. Step 5: Solve for x
    x = 5,560,945.13/2,167.60
  6. Step 6: Final answer
    x = 2,565.48

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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.