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Finding the Fourth Proportional to 1,471.87, 2,204.86 and 886.55

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Solution

The fourth proportional to 1,471.87, 2,204.86 and 886.55 is: 1,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.87 : 2,204.86 = 886.55 : x
  2. Step 2: Convert to fraction form
    1,471.87/2,204.86 = 886.55/x
  3. Step 3: Cross multiply
    1,471.87x = 2,204.86 × 886.55
  4. Step 4: Simplify right side
    1,471.87x = 1,954,705.39
  5. Step 5: Solve for x
    x = 1,954,705.39/1,471.87
  6. Step 6: Final answer
    x = 1,328.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.