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Finding the Fourth Proportional to 2,863.01, 3,941.43 and 2,567.77

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Solution

The fourth proportional to 2,863.01, 3,941.43 and 2,567.77 is: 3,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.01 : 3,941.43 = 2,567.77 : x
  2. Step 2: Convert to fraction form
    2,863.01/3,941.43 = 2,567.77/x
  3. Step 3: Cross multiply
    2,863.01x = 3,941.43 × 2,567.77
  4. Step 4: Simplify right side
    2,863.01x = 10,120,685.71
  5. Step 5: Solve for x
    x = 10,120,685.71/2,863.01
  6. Step 6: Final answer
    x = 3,534.98

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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.