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Finding the Fourth Proportional to 2,467.68, 3,697.32 and 2,156.10

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Solution

The fourth proportional to 2,467.68, 3,697.32 and 2,156.10 is: 3,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.68 : 3,697.32 = 2,156.10 : x
  2. Step 2: Convert to fraction form
    2,467.68/3,697.32 = 2,156.10/x
  3. Step 3: Cross multiply
    2,467.68x = 3,697.32 × 2,156.10
  4. Step 4: Simplify right side
    2,467.68x = 7,971,791.65
  5. Step 5: Solve for x
    x = 7,971,791.65/2,467.68
  6. Step 6: Final answer
    x = 3,230.48

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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.