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Finding the Fourth Proportional to 1,858.43, 2,787.18 and 541.83

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Solution

The fourth proportional to 1,858.43, 2,787.18 and 541.83 is: 812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.43 : 2,787.18 = 541.83 : x
  2. Step 2: Convert to fraction form
    1,858.43/2,787.18 = 541.83/x
  3. Step 3: Cross multiply
    1,858.43x = 2,787.18 × 541.83
  4. Step 4: Simplify right side
    1,858.43x = 1,510,177.74
  5. Step 5: Solve for x
    x = 1,510,177.74/1,858.43
  6. Step 6: Final answer
    x = 812.61

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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.