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Finding the Fourth Proportional to 2,400, 3,312.36 and 1,469.04

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Solution

The fourth proportional to 2,400, 3,312.36 and 1,469.04 is: 2,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400 : 3,312.36 = 1,469.04 : x
  2. Step 2: Convert to fraction form
    2,400/3,312.36 = 1,469.04/x
  3. Step 3: Cross multiply
    2,400x = 3,312.36 × 1,469.04
  4. Step 4: Simplify right side
    2,400x = 4,865,989.33
  5. Step 5: Solve for x
    x = 4,865,989.33/2,400
  6. Step 6: Final answer
    x = 2,027.50

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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.