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Finding the Fourth Proportional to 2,029.74, 3,042.15 and 859.29

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Solution

The fourth proportional to 2,029.74, 3,042.15 and 859.29 is: 1,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.74 : 3,042.15 = 859.29 : x
  2. Step 2: Convert to fraction form
    2,029.74/3,042.15 = 859.29/x
  3. Step 3: Cross multiply
    2,029.74x = 3,042.15 × 859.29
  4. Step 4: Simplify right side
    2,029.74x = 2,614,089.07
  5. Step 5: Solve for x
    x = 2,614,089.07/2,029.74
  6. Step 6: Final answer
    x = 1,287.89

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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.