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Finding the Fourth Proportional to 2,482.14, 3,722.04 and 838.20

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Solution

The fourth proportional to 2,482.14, 3,722.04 and 838.20 is: 1,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.14 : 3,722.04 = 838.20 : x
  2. Step 2: Convert to fraction form
    2,482.14/3,722.04 = 838.20/x
  3. Step 3: Cross multiply
    2,482.14x = 3,722.04 × 838.20
  4. Step 4: Simplify right side
    2,482.14x = 3,119,813.93
  5. Step 5: Solve for x
    x = 3,119,813.93/2,482.14
  6. Step 6: Final answer
    x = 1,256.90

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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.