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Finding the Fourth Proportional to 2,660.77, 3,671.27 and 1,541.68

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Solution

The fourth proportional to 2,660.77, 3,671.27 and 1,541.68 is: 2,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.77 : 3,671.27 = 1,541.68 : x
  2. Step 2: Convert to fraction form
    2,660.77/3,671.27 = 1,541.68/x
  3. Step 3: Cross multiply
    2,660.77x = 3,671.27 × 1,541.68
  4. Step 4: Simplify right side
    2,660.77x = 5,659,941.75
  5. Step 5: Solve for x
    x = 5,659,941.75/2,660.77
  6. Step 6: Final answer
    x = 2,127.18

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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.