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Finding the Fourth Proportional to 2,962, 4,434.78 and 1,923.20

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Solution

The fourth proportional to 2,962, 4,434.78 and 1,923.20 is: 2,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962 : 4,434.78 = 1,923.20 : x
  2. Step 2: Convert to fraction form
    2,962/4,434.78 = 1,923.20/x
  3. Step 3: Cross multiply
    2,962x = 4,434.78 × 1,923.20
  4. Step 4: Simplify right side
    2,962x = 8,528,968.90
  5. Step 5: Solve for x
    x = 8,528,968.90/2,962
  6. Step 6: Final answer
    x = 2,879.46

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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.