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Finding the Fourth Proportional to 2,143.95, 3,217.17 and 1,156.77

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Solution

The fourth proportional to 2,143.95, 3,217.17 and 1,156.77 is: 1,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.95 : 3,217.17 = 1,156.77 : x
  2. Step 2: Convert to fraction form
    2,143.95/3,217.17 = 1,156.77/x
  3. Step 3: Cross multiply
    2,143.95x = 3,217.17 × 1,156.77
  4. Step 4: Simplify right side
    2,143.95x = 3,721,511.27
  5. Step 5: Solve for x
    x = 3,721,511.27/2,143.95
  6. Step 6: Final answer
    x = 1,735.82

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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.