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Finding the Fourth Proportional to 2,930.74, 4,042.55 and 2,046.22

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Solution

The fourth proportional to 2,930.74, 4,042.55 and 2,046.22 is: 2,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.74 : 4,042.55 = 2,046.22 : x
  2. Step 2: Convert to fraction form
    2,930.74/4,042.55 = 2,046.22/x
  3. Step 3: Cross multiply
    2,930.74x = 4,042.55 × 2,046.22
  4. Step 4: Simplify right side
    2,930.74x = 8,271,946.66
  5. Step 5: Solve for x
    x = 8,271,946.66/2,930.74
  6. Step 6: Final answer
    x = 2,822.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.