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Finding the Fourth Proportional to 2,534.87, 3,801.33 and 1,218.25

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Solution

The fourth proportional to 2,534.87, 3,801.33 and 1,218.25 is: 1,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.87 : 3,801.33 = 1,218.25 : x
  2. Step 2: Convert to fraction form
    2,534.87/3,801.33 = 1,218.25/x
  3. Step 3: Cross multiply
    2,534.87x = 3,801.33 × 1,218.25
  4. Step 4: Simplify right side
    2,534.87x = 4,630,970.27
  5. Step 5: Solve for x
    x = 4,630,970.27/2,534.87
  6. Step 6: Final answer
    x = 1,826.91

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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.