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Finding the Fourth Proportional to 2,142.59, 3,211.68 and 1,363.17

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Solution

The fourth proportional to 2,142.59, 3,211.68 and 1,363.17 is: 2,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.59 : 3,211.68 = 1,363.17 : x
  2. Step 2: Convert to fraction form
    2,142.59/3,211.68 = 1,363.17/x
  3. Step 3: Cross multiply
    2,142.59x = 3,211.68 × 1,363.17
  4. Step 4: Simplify right side
    2,142.59x = 4,378,065.83
  5. Step 5: Solve for x
    x = 4,378,065.83/2,142.59
  6. Step 6: Final answer
    x = 2,043.35

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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.