Home / 1,522.26-2,282.04-741.83

Finding the Fourth Proportional to 1,522.26, 2,282.04 and 741.83

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Solution

The fourth proportional to 1,522.26, 2,282.04 and 741.83 is: 1,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.26 : 2,282.04 = 741.83 : x
  2. Step 2: Convert to fraction form
    1,522.26/2,282.04 = 741.83/x
  3. Step 3: Cross multiply
    1,522.26x = 2,282.04 × 741.83
  4. Step 4: Simplify right side
    1,522.26x = 1,692,874.32
  5. Step 5: Solve for x
    x = 1,692,874.32/1,522.26
  6. Step 6: Final answer
    x = 1,112.08

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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.