Home / 2,302.52-3,452.90-742.13

Finding the Fourth Proportional to 2,302.52, 3,452.90 and 742.13

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Solution

The fourth proportional to 2,302.52, 3,452.90 and 742.13 is: 1,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.52 : 3,452.90 = 742.13 : x
  2. Step 2: Convert to fraction form
    2,302.52/3,452.90 = 742.13/x
  3. Step 3: Cross multiply
    2,302.52x = 3,452.90 × 742.13
  4. Step 4: Simplify right side
    2,302.52x = 2,562,483.41
  5. Step 5: Solve for x
    x = 2,562,483.41/2,302.52
  6. Step 6: Final answer
    x = 1,112.90

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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.