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Finding the Fourth Proportional to 2,462.16, 3,398.64 and 2,199.72

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Solution

The fourth proportional to 2,462.16, 3,398.64 and 2,199.72 is: 3,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.16 : 3,398.64 = 2,199.72 : x
  2. Step 2: Convert to fraction form
    2,462.16/3,398.64 = 2,199.72/x
  3. Step 3: Cross multiply
    2,462.16x = 3,398.64 × 2,199.72
  4. Step 4: Simplify right side
    2,462.16x = 7,476,056.38
  5. Step 5: Solve for x
    x = 7,476,056.38/2,462.16
  6. Step 6: Final answer
    x = 3,036.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.