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Finding the Fourth Proportional to 2,661.72, 3,674.06 and 1,542.92

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Solution

The fourth proportional to 2,661.72, 3,674.06 and 1,542.92 is: 2,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.72 : 3,674.06 = 1,542.92 : x
  2. Step 2: Convert to fraction form
    2,661.72/3,674.06 = 1,542.92/x
  3. Step 3: Cross multiply
    2,661.72x = 3,674.06 × 1,542.92
  4. Step 4: Simplify right side
    2,661.72x = 5,668,780.66
  5. Step 5: Solve for x
    x = 5,668,780.66/2,661.72
  6. Step 6: Final answer
    x = 2,129.74

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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.