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Finding the Fourth Proportional to 2,129.72, 3,191.01 and 742.28

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Solution

The fourth proportional to 2,129.72, 3,191.01 and 742.28 is: 1,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.72 : 3,191.01 = 742.28 : x
  2. Step 2: Convert to fraction form
    2,129.72/3,191.01 = 742.28/x
  3. Step 3: Cross multiply
    2,129.72x = 3,191.01 × 742.28
  4. Step 4: Simplify right side
    2,129.72x = 2,368,606.95
  5. Step 5: Solve for x
    x = 2,368,606.95/2,129.72
  6. Step 6: Final answer
    x = 1,112.17

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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.