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Finding the Fourth Proportional to 2,065.88, 3,103.26 and 1,296.92

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Solution

The fourth proportional to 2,065.88, 3,103.26 and 1,296.92 is: 1,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.88 : 3,103.26 = 1,296.92 : x
  2. Step 2: Convert to fraction form
    2,065.88/3,103.26 = 1,296.92/x
  3. Step 3: Cross multiply
    2,065.88x = 3,103.26 × 1,296.92
  4. Step 4: Simplify right side
    2,065.88x = 4,024,679.96
  5. Step 5: Solve for x
    x = 4,024,679.96/2,065.88
  6. Step 6: Final answer
    x = 1,948.17

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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.