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Finding the Fourth Proportional to 3,462.94, 4,778.96 and 1,971.07

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Solution

The fourth proportional to 3,462.94, 4,778.96 and 1,971.07 is: 2,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.94 : 4,778.96 = 1,971.07 : x
  2. Step 2: Convert to fraction form
    3,462.94/4,778.96 = 1,971.07/x
  3. Step 3: Cross multiply
    3,462.94x = 4,778.96 × 1,971.07
  4. Step 4: Simplify right side
    3,462.94x = 9,419,664.69
  5. Step 5: Solve for x
    x = 9,419,664.69/3,462.94
  6. Step 6: Final answer
    x = 2,720.14

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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.