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Finding the Fourth Proportional to 1,411.89, 1,947.02 and 1,012.88

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Solution

The fourth proportional to 1,411.89, 1,947.02 and 1,012.88 is: 1,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.89 : 1,947.02 = 1,012.88 : x
  2. Step 2: Convert to fraction form
    1,411.89/1,947.02 = 1,012.88/x
  3. Step 3: Cross multiply
    1,411.89x = 1,947.02 × 1,012.88
  4. Step 4: Simplify right side
    1,411.89x = 1,972,097.62
  5. Step 5: Solve for x
    x = 1,972,097.62/1,411.89
  6. Step 6: Final answer
    x = 1,396.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.