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Finding the Fourth Proportional to 2,660.63, 3,671.67 and 1,541.78

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Solution

The fourth proportional to 2,660.63, 3,671.67 and 1,541.78 is: 2,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.63 : 3,671.67 = 1,541.78 : x
  2. Step 2: Convert to fraction form
    2,660.63/3,671.67 = 1,541.78/x
  3. Step 3: Cross multiply
    2,660.63x = 3,671.67 × 1,541.78
  4. Step 4: Simplify right side
    2,660.63x = 5,660,905.45
  5. Step 5: Solve for x
    x = 5,660,905.45/2,660.63
  6. Step 6: Final answer
    x = 2,127.66

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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.