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Finding the Fourth Proportional to 2,482.38, 3,724.02 and 2,024.18

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Solution

The fourth proportional to 2,482.38, 3,724.02 and 2,024.18 is: 3,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.38 : 3,724.02 = 2,024.18 : x
  2. Step 2: Convert to fraction form
    2,482.38/3,724.02 = 2,024.18/x
  3. Step 3: Cross multiply
    2,482.38x = 3,724.02 × 2,024.18
  4. Step 4: Simplify right side
    2,482.38x = 7,538,086.80
  5. Step 5: Solve for x
    x = 7,538,086.80/2,482.38
  6. Step 6: Final answer
    x = 3,036.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.