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Finding the Fourth Proportional to 2,843.57, 3,916.53 and 2,470.97

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Solution

The fourth proportional to 2,843.57, 3,916.53 and 2,470.97 is: 3,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.57 : 3,916.53 = 2,470.97 : x
  2. Step 2: Convert to fraction form
    2,843.57/3,916.53 = 2,470.97/x
  3. Step 3: Cross multiply
    2,843.57x = 3,916.53 × 2,470.97
  4. Step 4: Simplify right side
    2,843.57x = 9,677,628.13
  5. Step 5: Solve for x
    x = 9,677,628.13/2,843.57
  6. Step 6: Final answer
    x = 3,403.34

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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.