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Finding the Fourth Proportional to 2,595.99, 3,884.67 and 2,422.20

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Solution

The fourth proportional to 2,595.99, 3,884.67 and 2,422.20 is: 3,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.99 : 3,884.67 = 2,422.20 : x
  2. Step 2: Convert to fraction form
    2,595.99/3,884.67 = 2,422.20/x
  3. Step 3: Cross multiply
    2,595.99x = 3,884.67 × 2,422.20
  4. Step 4: Simplify right side
    2,595.99x = 9,409,447.67
  5. Step 5: Solve for x
    x = 9,409,447.67/2,595.99
  6. Step 6: Final answer
    x = 3,624.61

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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.