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Finding the Fourth Proportional to 2,930, 4,042.45 and 2,046.29

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Solution

The fourth proportional to 2,930, 4,042.45 and 2,046.29 is: 2,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930 : 4,042.45 = 2,046.29 : x
  2. Step 2: Convert to fraction form
    2,930/4,042.45 = 2,046.29/x
  3. Step 3: Cross multiply
    2,930x = 4,042.45 × 2,046.29
  4. Step 4: Simplify right side
    2,930x = 8,272,025.01
  5. Step 5: Solve for x
    x = 8,272,025.01/2,930
  6. Step 6: Final answer
    x = 2,823.22

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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.