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Finding the Fourth Proportional to 2,382.70, 3,288.18 and 1,388.02

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Solution

The fourth proportional to 2,382.70, 3,288.18 and 1,388.02 is: 1,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.70 : 3,288.18 = 1,388.02 : x
  2. Step 2: Convert to fraction form
    2,382.70/3,288.18 = 1,388.02/x
  3. Step 3: Cross multiply
    2,382.70x = 3,288.18 × 1,388.02
  4. Step 4: Simplify right side
    2,382.70x = 4,564,059.60
  5. Step 5: Solve for x
    x = 4,564,059.60/2,382.70
  6. Step 6: Final answer
    x = 1,915.50

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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.