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Finding the Fourth Proportional to 2,322.95, 3,484.93 and 679.37

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Solution

The fourth proportional to 2,322.95, 3,484.93 and 679.37 is: 1,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.95 : 3,484.93 = 679.37 : x
  2. Step 2: Convert to fraction form
    2,322.95/3,484.93 = 679.37/x
  3. Step 3: Cross multiply
    2,322.95x = 3,484.93 × 679.37
  4. Step 4: Simplify right side
    2,322.95x = 2,367,553.50
  5. Step 5: Solve for x
    x = 2,367,553.50/2,322.95
  6. Step 6: Final answer
    x = 1,019.20

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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.