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Finding the Fourth Proportional to 2,352.81, 3,244.64 and 1,792.29

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Solution

The fourth proportional to 2,352.81, 3,244.64 and 1,792.29 is: 2,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.81 : 3,244.64 = 1,792.29 : x
  2. Step 2: Convert to fraction form
    2,352.81/3,244.64 = 1,792.29/x
  3. Step 3: Cross multiply
    2,352.81x = 3,244.64 × 1,792.29
  4. Step 4: Simplify right side
    2,352.81x = 5,815,335.83
  5. Step 5: Solve for x
    x = 5,815,335.83/2,352.81
  6. Step 6: Final answer
    x = 2,471.66

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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.