Home / 1,354.11-2,031.45-769.38

Finding the Fourth Proportional to 1,354.11, 2,031.45 and 769.38

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Solution

The fourth proportional to 1,354.11, 2,031.45 and 769.38 is: 1,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.11 : 2,031.45 = 769.38 : x
  2. Step 2: Convert to fraction form
    1,354.11/2,031.45 = 769.38/x
  3. Step 3: Cross multiply
    1,354.11x = 2,031.45 × 769.38
  4. Step 4: Simplify right side
    1,354.11x = 1,562,966.06
  5. Step 5: Solve for x
    x = 1,562,966.06/1,354.11
  6. Step 6: Final answer
    x = 1,154.24

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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.