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Finding the Fourth Proportional to 3,462.72, 4,778.12 and 1,970.32

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Solution

The fourth proportional to 3,462.72, 4,778.12 and 1,970.32 is: 2,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.72 : 4,778.12 = 1,970.32 : x
  2. Step 2: Convert to fraction form
    3,462.72/4,778.12 = 1,970.32/x
  3. Step 3: Cross multiply
    3,462.72x = 4,778.12 × 1,970.32
  4. Step 4: Simplify right side
    3,462.72x = 9,414,425.40
  5. Step 5: Solve for x
    x = 9,414,425.40/3,462.72
  6. Step 6: Final answer
    x = 2,718.79

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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.