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Finding the Fourth Proportional to 1,534.28, 2,117.66 and 871.55

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Solution

The fourth proportional to 1,534.28, 2,117.66 and 871.55 is: 1,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.28 : 2,117.66 = 871.55 : x
  2. Step 2: Convert to fraction form
    1,534.28/2,117.66 = 871.55/x
  3. Step 3: Cross multiply
    1,534.28x = 2,117.66 × 871.55
  4. Step 4: Simplify right side
    1,534.28x = 1,845,646.57
  5. Step 5: Solve for x
    x = 1,845,646.57/1,534.28
  6. Step 6: Final answer
    x = 1,202.94

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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.