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Finding the Fourth Proportional to 2,422.80, 3,636.24 and 2,145.92

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Solution

The fourth proportional to 2,422.80, 3,636.24 and 2,145.92 is: 3,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.80 : 3,636.24 = 2,145.92 : x
  2. Step 2: Convert to fraction form
    2,422.80/3,636.24 = 2,145.92/x
  3. Step 3: Cross multiply
    2,422.80x = 3,636.24 × 2,145.92
  4. Step 4: Simplify right side
    2,422.80x = 7,803,080.14
  5. Step 5: Solve for x
    x = 7,803,080.14/2,422.80
  6. Step 6: Final answer
    x = 3,220.69

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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.