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Finding the Fourth Proportional to 1,411.62, 1,947.89 and 844.46

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Solution

The fourth proportional to 1,411.62, 1,947.89 and 844.46 is: 1,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.62 : 1,947.89 = 844.46 : x
  2. Step 2: Convert to fraction form
    1,411.62/1,947.89 = 844.46/x
  3. Step 3: Cross multiply
    1,411.62x = 1,947.89 × 844.46
  4. Step 4: Simplify right side
    1,411.62x = 1,644,901.23
  5. Step 5: Solve for x
    x = 1,644,901.23/1,411.62
  6. Step 6: Final answer
    x = 1,165.26

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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.