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Finding the Fourth Proportional to 2,029.34, 3,044.78 and 713.19

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Solution

The fourth proportional to 2,029.34, 3,044.78 and 713.19 is: 1,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.34 : 3,044.78 = 713.19 : x
  2. Step 2: Convert to fraction form
    2,029.34/3,044.78 = 713.19/x
  3. Step 3: Cross multiply
    2,029.34x = 3,044.78 × 713.19
  4. Step 4: Simplify right side
    2,029.34x = 2,171,517.17
  5. Step 5: Solve for x
    x = 2,171,517.17/2,029.34
  6. Step 6: Final answer
    x = 1,070.06

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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.