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Finding the Fourth Proportional to 3,182.51, 4,391.90 and 1,766.22

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Solution

The fourth proportional to 3,182.51, 4,391.90 and 1,766.22 is: 2,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.51 : 4,391.90 = 1,766.22 : x
  2. Step 2: Convert to fraction form
    3,182.51/4,391.90 = 1,766.22/x
  3. Step 3: Cross multiply
    3,182.51x = 4,391.90 × 1,766.22
  4. Step 4: Simplify right side
    3,182.51x = 7,757,052.79
  5. Step 5: Solve for x
    x = 7,757,052.79/3,182.51
  6. Step 6: Final answer
    x = 2,437.40

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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.