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Finding the Fourth Proportional to 1,791.17, 2,685.71 and 541.40

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Solution

The fourth proportional to 1,791.17, 2,685.71 and 541.40 is: 811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.17 : 2,685.71 = 541.40 : x
  2. Step 2: Convert to fraction form
    1,791.17/2,685.71 = 541.40/x
  3. Step 3: Cross multiply
    1,791.17x = 2,685.71 × 541.40
  4. Step 4: Simplify right side
    1,791.17x = 1,454,031.32
  5. Step 5: Solve for x
    x = 1,454,031.32/1,791.17
  6. Step 6: Final answer
    x = 811.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.