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Finding the Fourth Proportional to 2,442.92, 3,657.48 and 2,212.24

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Solution

The fourth proportional to 2,442.92, 3,657.48 and 2,212.24 is: 3,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.92 : 3,657.48 = 2,212.24 : x
  2. Step 2: Convert to fraction form
    2,442.92/3,657.48 = 2,212.24/x
  3. Step 3: Cross multiply
    2,442.92x = 3,657.48 × 2,212.24
  4. Step 4: Simplify right side
    2,442.92x = 8,091,223.56
  5. Step 5: Solve for x
    x = 8,091,223.56/2,442.92
  6. Step 6: Final answer
    x = 3,312.11

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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.