Home / 2,262.24-3,397.01-1,402.02

Finding the Fourth Proportional to 2,262.24, 3,397.01 and 1,402.02

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Solution

The fourth proportional to 2,262.24, 3,397.01 and 1,402.02 is: 2,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.24 : 3,397.01 = 1,402.02 : x
  2. Step 2: Convert to fraction form
    2,262.24/3,397.01 = 1,402.02/x
  3. Step 3: Cross multiply
    2,262.24x = 3,397.01 × 1,402.02
  4. Step 4: Simplify right side
    2,262.24x = 4,762,668.95
  5. Step 5: Solve for x
    x = 4,762,668.95/2,262.24
  6. Step 6: Final answer
    x = 2,105.29

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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.