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Finding the Fourth Proportional to 2,586.78, 3,876.68 and 1,854.75

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Solution

The fourth proportional to 2,586.78, 3,876.68 and 1,854.75 is: 2,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.78 : 3,876.68 = 1,854.75 : x
  2. Step 2: Convert to fraction form
    2,586.78/3,876.68 = 1,854.75/x
  3. Step 3: Cross multiply
    2,586.78x = 3,876.68 × 1,854.75
  4. Step 4: Simplify right side
    2,586.78x = 7,190,262.96
  5. Step 5: Solve for x
    x = 7,190,262.96/2,586.78
  6. Step 6: Final answer
    x = 2,779.62

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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.