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Finding the Fourth Proportional to 1,522.08, 2,282.88 and 426.60

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Solution

The fourth proportional to 1,522.08, 2,282.88 and 426.60 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.08 : 2,282.88 = 426.60 : x
  2. Step 2: Convert to fraction form
    1,522.08/2,282.88 = 426.60/x
  3. Step 3: Cross multiply
    1,522.08x = 2,282.88 × 426.60
  4. Step 4: Simplify right side
    1,522.08x = 973,876.61
  5. Step 5: Solve for x
    x = 973,876.61/1,522.08
  6. Step 6: Final answer
    x = 639.83

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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.