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Finding the Fourth Proportional to 2,322.78, 3,484.89 and 679.36

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Solution

The fourth proportional to 2,322.78, 3,484.89 and 679.36 is: 1,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.78 : 3,484.89 = 679.36 : x
  2. Step 2: Convert to fraction form
    2,322.78/3,484.89 = 679.36/x
  3. Step 3: Cross multiply
    2,322.78x = 3,484.89 × 679.36
  4. Step 4: Simplify right side
    2,322.78x = 2,367,494.87
  5. Step 5: Solve for x
    x = 2,367,494.87/2,322.78
  6. Step 6: Final answer
    x = 1,019.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.