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Finding the Fourth Proportional to 2,382.95, 3,288.65 and 1,438.97

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Solution

The fourth proportional to 2,382.95, 3,288.65 and 1,438.97 is: 1,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.95 : 3,288.65 = 1,438.97 : x
  2. Step 2: Convert to fraction form
    2,382.95/3,288.65 = 1,438.97/x
  3. Step 3: Cross multiply
    2,382.95x = 3,288.65 × 1,438.97
  4. Step 4: Simplify right side
    2,382.95x = 4,732,261.50
  5. Step 5: Solve for x
    x = 4,732,261.50/2,382.95
  6. Step 6: Final answer
    x = 1,985.88

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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.