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Finding the Fourth Proportional to 1,363.92, 1,881.10 and 891.78

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Solution

The fourth proportional to 1,363.92, 1,881.10 and 891.78 is: 1,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.92 : 1,881.10 = 891.78 : x
  2. Step 2: Convert to fraction form
    1,363.92/1,881.10 = 891.78/x
  3. Step 3: Cross multiply
    1,363.92x = 1,881.10 × 891.78
  4. Step 4: Simplify right side
    1,363.92x = 1,677,527.36
  5. Step 5: Solve for x
    x = 1,677,527.36/1,363.92
  6. Step 6: Final answer
    x = 1,229.93

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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.