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Finding the Fourth Proportional to 1,610.68, 2,221.68 and 1,260.76

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Solution

The fourth proportional to 1,610.68, 2,221.68 and 1,260.76 is: 1,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.68 : 2,221.68 = 1,260.76 : x
  2. Step 2: Convert to fraction form
    1,610.68/2,221.68 = 1,260.76/x
  3. Step 3: Cross multiply
    1,610.68x = 2,221.68 × 1,260.76
  4. Step 4: Simplify right side
    1,610.68x = 2,801,005.28
  5. Step 5: Solve for x
    x = 2,801,005.28/1,610.68
  6. Step 6: Final answer
    x = 1,739.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.