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Finding the Fourth Proportional to 1,423.17, 1,963.15 and 891.12

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Solution

The fourth proportional to 1,423.17, 1,963.15 and 891.12 is: 1,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.17 : 1,963.15 = 891.12 : x
  2. Step 2: Convert to fraction form
    1,423.17/1,963.15 = 891.12/x
  3. Step 3: Cross multiply
    1,423.17x = 1,963.15 × 891.12
  4. Step 4: Simplify right side
    1,423.17x = 1,749,392.68
  5. Step 5: Solve for x
    x = 1,749,392.68/1,423.17
  6. Step 6: Final answer
    x = 1,229.22

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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.