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Finding the Fourth Proportional to 2,281.52, 3,422.29 and 638.18

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Solution

The fourth proportional to 2,281.52, 3,422.29 and 638.18 is: 957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.52 : 3,422.29 = 638.18 : x
  2. Step 2: Convert to fraction form
    2,281.52/3,422.29 = 638.18/x
  3. Step 3: Cross multiply
    2,281.52x = 3,422.29 × 638.18
  4. Step 4: Simplify right side
    2,281.52x = 2,184,037.03
  5. Step 5: Solve for x
    x = 2,184,037.03/2,281.52
  6. Step 6: Final answer
    x = 957.27

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