Home / 1,522.25-2,283.45-426.69

Finding the Fourth Proportional to 1,522.25, 2,283.45 and 426.69

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Solution

The fourth proportional to 1,522.25, 2,283.45 and 426.69 is: 640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.25 : 2,283.45 = 426.69 : x
  2. Step 2: Convert to fraction form
    1,522.25/2,283.45 = 426.69/x
  3. Step 3: Cross multiply
    1,522.25x = 2,283.45 × 426.69
  4. Step 4: Simplify right side
    1,522.25x = 974,337.58
  5. Step 5: Solve for x
    x = 974,337.58/1,522.25
  6. Step 6: Final answer
    x = 640.07

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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.