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Finding the Fourth Proportional to 2,029.80, 3,042.90 and 712.92

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Solution

The fourth proportional to 2,029.80, 3,042.90 and 712.92 is: 1,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.80 : 3,042.90 = 712.92 : x
  2. Step 2: Convert to fraction form
    2,029.80/3,042.90 = 712.92/x
  3. Step 3: Cross multiply
    2,029.80x = 3,042.90 × 712.92
  4. Step 4: Simplify right side
    2,029.80x = 2,169,344.27
  5. Step 5: Solve for x
    x = 2,169,344.27/2,029.80
  6. Step 6: Final answer
    x = 1,068.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.