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Finding the Fourth Proportional to 2,561.12, 3,842.13 and 895.15

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Solution

The fourth proportional to 2,561.12, 3,842.13 and 895.15 is: 1,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.12 : 3,842.13 = 895.15 : x
  2. Step 2: Convert to fraction form
    2,561.12/3,842.13 = 895.15/x
  3. Step 3: Cross multiply
    2,561.12x = 3,842.13 × 895.15
  4. Step 4: Simplify right side
    2,561.12x = 3,439,290.83
  5. Step 5: Solve for x
    x = 3,439,290.83/2,561.12
  6. Step 6: Final answer
    x = 1,342.89

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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.