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Finding the Fourth Proportional to 3,042.79, 4,564.19 and 1,949.29

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Solution

The fourth proportional to 3,042.79, 4,564.19 and 1,949.29 is: 2,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.79 : 4,564.19 = 1,949.29 : x
  2. Step 2: Convert to fraction form
    3,042.79/4,564.19 = 1,949.29/x
  3. Step 3: Cross multiply
    3,042.79x = 4,564.19 × 1,949.29
  4. Step 4: Simplify right side
    3,042.79x = 8,896,923.39
  5. Step 5: Solve for x
    x = 8,896,923.39/3,042.79
  6. Step 6: Final answer
    x = 2,923.94

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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.