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Finding the Fourth Proportional to 2,456.88, 3,390.20 and 1,462.20

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Solution

The fourth proportional to 2,456.88, 3,390.20 and 1,462.20 is: 2,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.88 : 3,390.20 = 1,462.20 : x
  2. Step 2: Convert to fraction form
    2,456.88/3,390.20 = 1,462.20/x
  3. Step 3: Cross multiply
    2,456.88x = 3,390.20 × 1,462.20
  4. Step 4: Simplify right side
    2,456.88x = 4,957,150.44
  5. Step 5: Solve for x
    x = 4,957,150.44/2,456.88
  6. Step 6: Final answer
    x = 2,017.66

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1.5x scale

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.