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Finding the Fourth Proportional to 1,862.67, 2,562.31 and 1,558.20

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Solution

The fourth proportional to 1,862.67, 2,562.31 and 1,558.20 is: 2,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.67 : 2,562.31 = 1,558.20 : x
  2. Step 2: Convert to fraction form
    1,862.67/2,562.31 = 1,558.20/x
  3. Step 3: Cross multiply
    1,862.67x = 2,562.31 × 1,558.20
  4. Step 4: Simplify right side
    1,862.67x = 3,992,591.44
  5. Step 5: Solve for x
    x = 3,992,591.44/1,862.67
  6. Step 6: Final answer
    x = 2,143.48

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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.