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Finding the Fourth Proportional to 2,483.64, 3,722.24 and 922.21

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Solution

The fourth proportional to 2,483.64, 3,722.24 and 922.21 is: 1,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.64 : 3,722.24 = 922.21 : x
  2. Step 2: Convert to fraction form
    2,483.64/3,722.24 = 922.21/x
  3. Step 3: Cross multiply
    2,483.64x = 3,722.24 × 922.21
  4. Step 4: Simplify right side
    2,483.64x = 3,432,679.95
  5. Step 5: Solve for x
    x = 3,432,679.95/2,483.64
  6. Step 6: Final answer
    x = 1,382.12

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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.