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Finding the Fourth Proportional to 2,470, 3,408.60 and 1,422.04

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Solution

The fourth proportional to 2,470, 3,408.60 and 1,422.04 is: 1,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470 : 3,408.60 = 1,422.04 : x
  2. Step 2: Convert to fraction form
    2,470/3,408.60 = 1,422.04/x
  3. Step 3: Cross multiply
    2,470x = 3,408.60 × 1,422.04
  4. Step 4: Simplify right side
    2,470x = 4,847,165.54
  5. Step 5: Solve for x
    x = 4,847,165.54/2,470
  6. Step 6: Final answer
    x = 1,962.42

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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.