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Finding the Fourth Proportional to 2,952, 4,419.78 and 2,438.22

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Solution

The fourth proportional to 2,952, 4,419.78 and 2,438.22 is: 3,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952 : 4,419.78 = 2,438.22 : x
  2. Step 2: Convert to fraction form
    2,952/4,419.78 = 2,438.22/x
  3. Step 3: Cross multiply
    2,952x = 4,419.78 × 2,438.22
  4. Step 4: Simplify right side
    2,952x = 10,776,395.99
  5. Step 5: Solve for x
    x = 10,776,395.99/2,952
  6. Step 6: Final answer
    x = 3,650.54

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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.