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Finding the Fourth Proportional to 2,766.40, 4,129.64 and 2,563.72

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Solution

The fourth proportional to 2,766.40, 4,129.64 and 2,563.72 is: 3,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.40 : 4,129.64 = 2,563.72 : x
  2. Step 2: Convert to fraction form
    2,766.40/4,129.64 = 2,563.72/x
  3. Step 3: Cross multiply
    2,766.40x = 4,129.64 × 2,563.72
  4. Step 4: Simplify right side
    2,766.40x = 10,587,240.66
  5. Step 5: Solve for x
    x = 10,587,240.66/2,766.40
  6. Step 6: Final answer
    x = 3,827.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.