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Finding the Fourth Proportional to 2,129.75, 3,193.17 and 1,156.53

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Solution

The fourth proportional to 2,129.75, 3,193.17 and 1,156.53 is: 1,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.75 : 3,193.17 = 1,156.53 : x
  2. Step 2: Convert to fraction form
    2,129.75/3,193.17 = 1,156.53/x
  3. Step 3: Cross multiply
    2,129.75x = 3,193.17 × 1,156.53
  4. Step 4: Simplify right side
    2,129.75x = 3,692,996.90
  5. Step 5: Solve for x
    x = 3,692,996.90/2,129.75
  6. Step 6: Final answer
    x = 1,734.00

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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.