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Finding the Fourth Proportional to 2,382.40, 3,288.04 and 1,387.99

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Solution

The fourth proportional to 2,382.40, 3,288.04 and 1,387.99 is: 1,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.40 : 3,288.04 = 1,387.99 : x
  2. Step 2: Convert to fraction form
    2,382.40/3,288.04 = 1,387.99/x
  3. Step 3: Cross multiply
    2,382.40x = 3,288.04 × 1,387.99
  4. Step 4: Simplify right side
    2,382.40x = 4,563,766.64
  5. Step 5: Solve for x
    x = 4,563,766.64/2,382.40
  6. Step 6: Final answer
    x = 1,915.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.