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Finding the Fourth Proportional to 2,281.83, 3,422.40 and 638.54

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Solution

The fourth proportional to 2,281.83, 3,422.40 and 638.54 is: 957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.83 : 3,422.40 = 638.54 : x
  2. Step 2: Convert to fraction form
    2,281.83/3,422.40 = 638.54/x
  3. Step 3: Cross multiply
    2,281.83x = 3,422.40 × 638.54
  4. Step 4: Simplify right side
    2,281.83x = 2,185,339.30
  5. Step 5: Solve for x
    x = 2,185,339.30/2,281.83
  6. Step 6: Final answer
    x = 957.71

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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.