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Finding the Fourth Proportional to 2,561.66, 3,842.72 and 1,876.85

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Solution

The fourth proportional to 2,561.66, 3,842.72 and 1,876.85 is: 2,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.66 : 3,842.72 = 1,876.85 : x
  2. Step 2: Convert to fraction form
    2,561.66/3,842.72 = 1,876.85/x
  3. Step 3: Cross multiply
    2,561.66x = 3,842.72 × 1,876.85
  4. Step 4: Simplify right side
    2,561.66x = 7,212,209.25
  5. Step 5: Solve for x
    x = 7,212,209.25/2,561.66
  6. Step 6: Final answer
    x = 2,815.45

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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.