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Finding the Fourth Proportional to 2,535.78, 3,808.36 and 2,074.54

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Solution

The fourth proportional to 2,535.78, 3,808.36 and 2,074.54 is: 3,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.78 : 3,808.36 = 2,074.54 : x
  2. Step 2: Convert to fraction form
    2,535.78/3,808.36 = 2,074.54/x
  3. Step 3: Cross multiply
    2,535.78x = 3,808.36 × 2,074.54
  4. Step 4: Simplify right side
    2,535.78x = 7,900,595.15
  5. Step 5: Solve for x
    x = 7,900,595.15/2,535.78
  6. Step 6: Final answer
    x = 3,115.65

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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.