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Finding the Fourth Proportional to 3,462.93, 4,778.97 and 1,970.97

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Solution

The fourth proportional to 3,462.93, 4,778.97 and 1,970.97 is: 2,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.93 : 4,778.97 = 1,970.97 : x
  2. Step 2: Convert to fraction form
    3,462.93/4,778.97 = 1,970.97/x
  3. Step 3: Cross multiply
    3,462.93x = 4,778.97 × 1,970.97
  4. Step 4: Simplify right side
    3,462.93x = 9,419,206.50
  5. Step 5: Solve for x
    x = 9,419,206.50/3,462.93
  6. Step 6: Final answer
    x = 2,720.01

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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.