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Finding the Fourth Proportional to 2,382.28, 3,572.88 and 1,642.48

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Solution

The fourth proportional to 2,382.28, 3,572.88 and 1,642.48 is: 2,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.28 : 3,572.88 = 1,642.48 : x
  2. Step 2: Convert to fraction form
    2,382.28/3,572.88 = 1,642.48/x
  3. Step 3: Cross multiply
    2,382.28x = 3,572.88 × 1,642.48
  4. Step 4: Simplify right side
    2,382.28x = 5,868,383.94
  5. Step 5: Solve for x
    x = 5,868,383.94/2,382.28
  6. Step 6: Final answer
    x = 2,463.35

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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.