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Finding the Fourth Proportional to 4,293.33, 6,438.78 and 1,660.65

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Solution

The fourth proportional to 4,293.33, 6,438.78 and 1,660.65 is: 2,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.33 : 6,438.78 = 1,660.65 : x
  2. Step 2: Convert to fraction form
    4,293.33/6,438.78 = 1,660.65/x
  3. Step 3: Cross multiply
    4,293.33x = 6,438.78 × 1,660.65
  4. Step 4: Simplify right side
    4,293.33x = 10,692,560.01
  5. Step 5: Solve for x
    x = 10,692,560.01/4,293.33
  6. Step 6: Final answer
    x = 2,490.51

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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.