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Finding the Fourth Proportional to 3,123.83, 4,311.36 and 1,945.28

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Solution

The fourth proportional to 3,123.83, 4,311.36 and 1,945.28 is: 2,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.83 : 4,311.36 = 1,945.28 : x
  2. Step 2: Convert to fraction form
    3,123.83/4,311.36 = 1,945.28/x
  3. Step 3: Cross multiply
    3,123.83x = 4,311.36 × 1,945.28
  4. Step 4: Simplify right side
    3,123.83x = 8,386,813.16
  5. Step 5: Solve for x
    x = 8,386,813.16/3,123.83
  6. Step 6: Final answer
    x = 2,684.78

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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.