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Finding the Fourth Proportional to 3,121.56, 4,307.20 and 1,862.48

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Solution

The fourth proportional to 3,121.56, 4,307.20 and 1,862.48 is: 2,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.56 : 4,307.20 = 1,862.48 : x
  2. Step 2: Convert to fraction form
    3,121.56/4,307.20 = 1,862.48/x
  3. Step 3: Cross multiply
    3,121.56x = 4,307.20 × 1,862.48
  4. Step 4: Simplify right side
    3,121.56x = 8,022,073.86
  5. Step 5: Solve for x
    x = 8,022,073.86/3,121.56
  6. Step 6: Final answer
    x = 2,569.89

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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.