Home / 1,522.25-2,282.80-1,004.96

Finding the Fourth Proportional to 1,522.25, 2,282.80 and 1,004.96

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Solution

The fourth proportional to 1,522.25, 2,282.80 and 1,004.96 is: 1,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.25 : 2,282.80 = 1,004.96 : x
  2. Step 2: Convert to fraction form
    1,522.25/2,282.80 = 1,004.96/x
  3. Step 3: Cross multiply
    1,522.25x = 2,282.80 × 1,004.96
  4. Step 4: Simplify right side
    1,522.25x = 2,294,122.69
  5. Step 5: Solve for x
    x = 2,294,122.69/1,522.25
  6. Step 6: Final answer
    x = 1,507.06

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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.