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Finding the Fourth Proportional to 2,044.59, 3,067.43 and 1,070.43

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Solution

The fourth proportional to 2,044.59, 3,067.43 and 1,070.43 is: 1,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.59 : 3,067.43 = 1,070.43 : x
  2. Step 2: Convert to fraction form
    2,044.59/3,067.43 = 1,070.43/x
  3. Step 3: Cross multiply
    2,044.59x = 3,067.43 × 1,070.43
  4. Step 4: Simplify right side
    2,044.59x = 3,283,463.74
  5. Step 5: Solve for x
    x = 3,283,463.74/2,044.59
  6. Step 6: Final answer
    x = 1,605.93

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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.