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Finding the Fourth Proportional to 2,482.62, 3,724.84 and 1,021.88

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Solution

The fourth proportional to 2,482.62, 3,724.84 and 1,021.88 is: 1,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.62 : 3,724.84 = 1,021.88 : x
  2. Step 2: Convert to fraction form
    2,482.62/3,724.84 = 1,021.88/x
  3. Step 3: Cross multiply
    2,482.62x = 3,724.84 × 1,021.88
  4. Step 4: Simplify right side
    2,482.62x = 3,806,339.50
  5. Step 5: Solve for x
    x = 3,806,339.50/2,482.62
  6. Step 6: Final answer
    x = 1,533.19

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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.