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Finding the Fourth Proportional to 2,282.04, 3,422.67 and 638.20

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Solution

The fourth proportional to 2,282.04, 3,422.67 and 638.20 is: 957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.04 : 3,422.67 = 638.20 : x
  2. Step 2: Convert to fraction form
    2,282.04/3,422.67 = 638.20/x
  3. Step 3: Cross multiply
    2,282.04x = 3,422.67 × 638.20
  4. Step 4: Simplify right side
    2,282.04x = 2,184,349.88
  5. Step 5: Solve for x
    x = 2,184,349.88/2,282.04
  6. Step 6: Final answer
    x = 957.19

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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.