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Finding the Fourth Proportional to 5,123.40, 7,684.94 and 1,660.52

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Solution

The fourth proportional to 5,123.40, 7,684.94 and 1,660.52 is: 2,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.40 : 7,684.94 = 1,660.52 : x
  2. Step 2: Convert to fraction form
    5,123.40/7,684.94 = 1,660.52/x
  3. Step 3: Cross multiply
    5,123.40x = 7,684.94 × 1,660.52
  4. Step 4: Simplify right side
    5,123.40x = 12,760,996.57
  5. Step 5: Solve for x
    x = 12,760,996.57/5,123.40
  6. Step 6: Final answer
    x = 2,490.73

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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.