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Finding the Fourth Proportional to 2,129.88, 3,194.55 and 1,306.68

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Solution

The fourth proportional to 2,129.88, 3,194.55 and 1,306.68 is: 1,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.88 : 3,194.55 = 1,306.68 : x
  2. Step 2: Convert to fraction form
    2,129.88/3,194.55 = 1,306.68/x
  3. Step 3: Cross multiply
    2,129.88x = 3,194.55 × 1,306.68
  4. Step 4: Simplify right side
    2,129.88x = 4,174,254.59
  5. Step 5: Solve for x
    x = 4,174,254.59/2,129.88
  6. Step 6: Final answer
    x = 1,959.85

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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.