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Finding the Fourth Proportional to 1,522.19, 2,282.99 and 426.57

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Solution

The fourth proportional to 1,522.19, 2,282.99 and 426.57 is: 639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.19 : 2,282.99 = 426.57 : x
  2. Step 2: Convert to fraction form
    1,522.19/2,282.99 = 426.57/x
  3. Step 3: Cross multiply
    1,522.19x = 2,282.99 × 426.57
  4. Step 4: Simplify right side
    1,522.19x = 973,844.35
  5. Step 5: Solve for x
    x = 973,844.35/1,522.19
  6. Step 6: Final answer
    x = 639.76

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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.