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Finding the Fourth Proportional to 2,443.42, 3,658.22 and 2,212.74

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Solution

The fourth proportional to 2,443.42, 3,658.22 and 2,212.74 is: 3,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.42 : 3,658.22 = 2,212.74 : x
  2. Step 2: Convert to fraction form
    2,443.42/3,658.22 = 2,212.74/x
  3. Step 3: Cross multiply
    2,443.42x = 3,658.22 × 2,212.74
  4. Step 4: Simplify right side
    2,443.42x = 8,094,689.72
  5. Step 5: Solve for x
    x = 8,094,689.72/2,443.42
  6. Step 6: Final answer
    x = 3,312.85

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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.