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Finding the Fourth Proportional to 2,042.31, 3,061.85 and 887.25

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Solution

The fourth proportional to 2,042.31, 3,061.85 and 887.25 is: 1,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.31 : 3,061.85 = 887.25 : x
  2. Step 2: Convert to fraction form
    2,042.31/3,061.85 = 887.25/x
  3. Step 3: Cross multiply
    2,042.31x = 3,061.85 × 887.25
  4. Step 4: Simplify right side
    2,042.31x = 2,716,621.98
  5. Step 5: Solve for x
    x = 2,716,621.98/2,042.31
  6. Step 6: Final answer
    x = 1,330.17

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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.