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Finding the Fourth Proportional to 3,146.72, 4,340.64 and 1,965.76

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Solution

The fourth proportional to 3,146.72, 4,340.64 and 1,965.76 is: 2,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.72 : 4,340.64 = 1,965.76 : x
  2. Step 2: Convert to fraction form
    3,146.72/4,340.64 = 1,965.76/x
  3. Step 3: Cross multiply
    3,146.72x = 4,340.64 × 1,965.76
  4. Step 4: Simplify right side
    3,146.72x = 8,532,656.49
  5. Step 5: Solve for x
    x = 8,532,656.49/3,146.72
  6. Step 6: Final answer
    x = 2,711.60

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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.