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Finding the Fourth Proportional to 1,471.44, 2,203.68 and 1,124.34

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Solution

The fourth proportional to 1,471.44, 2,203.68 and 1,124.34 is: 1,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.44 : 2,203.68 = 1,124.34 : x
  2. Step 2: Convert to fraction form
    1,471.44/2,203.68 = 1,124.34/x
  3. Step 3: Cross multiply
    1,471.44x = 2,203.68 × 1,124.34
  4. Step 4: Simplify right side
    1,471.44x = 2,477,685.57
  5. Step 5: Solve for x
    x = 2,477,685.57/1,471.44
  6. Step 6: Final answer
    x = 1,683.85

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