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Finding the Fourth Proportional to 2,661.46, 3,672.00 and 1,542.18

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Solution

The fourth proportional to 2,661.46, 3,672.00 and 1,542.18 is: 2,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.46 : 3,672.00 = 1,542.18 : x
  2. Step 2: Convert to fraction form
    2,661.46/3,672.00 = 1,542.18/x
  3. Step 3: Cross multiply
    2,661.46x = 3,672.00 × 1,542.18
  4. Step 4: Simplify right side
    2,661.46x = 5,662,894.15
  5. Step 5: Solve for x
    x = 5,662,894.15/2,661.46
  6. Step 6: Final answer
    x = 2,127.74

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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.