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Finding the Fourth Proportional to 2,046.47, 3,070.31 and 1,072.44

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Solution

The fourth proportional to 2,046.47, 3,070.31 and 1,072.44 is: 1,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.47 : 3,070.31 = 1,072.44 : x
  2. Step 2: Convert to fraction form
    2,046.47/3,070.31 = 1,072.44/x
  3. Step 3: Cross multiply
    2,046.47x = 3,070.31 × 1,072.44
  4. Step 4: Simplify right side
    2,046.47x = 3,292,717.89
  5. Step 5: Solve for x
    x = 3,292,717.89/2,046.47
  6. Step 6: Final answer
    x = 1,608.98

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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.