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Finding the Fourth Proportional to 2,029.68, 3,044.88 and 731.34

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Solution

The fourth proportional to 2,029.68, 3,044.88 and 731.34 is: 1,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.68 : 3,044.88 = 731.34 : x
  2. Step 2: Convert to fraction form
    2,029.68/3,044.88 = 731.34/x
  3. Step 3: Cross multiply
    2,029.68x = 3,044.88 × 731.34
  4. Step 4: Simplify right side
    2,029.68x = 2,226,842.54
  5. Step 5: Solve for x
    x = 2,226,842.54/2,029.68
  6. Step 6: Final answer
    x = 1,097.14

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1.5x scale

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.