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Finding the Fourth Proportional to 3,462.96, 4,778.40 and 1,970.40

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Solution

The fourth proportional to 3,462.96, 4,778.40 and 1,970.40 is: 2,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.96 : 4,778.40 = 1,970.40 : x
  2. Step 2: Convert to fraction form
    3,462.96/4,778.40 = 1,970.40/x
  3. Step 3: Cross multiply
    3,462.96x = 4,778.40 × 1,970.40
  4. Step 4: Simplify right side
    3,462.96x = 9,415,359.36
  5. Step 5: Solve for x
    x = 9,415,359.36/3,462.96
  6. Step 6: Final answer
    x = 2,718.88

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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.