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Finding the Fourth Proportional to 2,407.96, 3,320.24 and 1,964.48

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Solution

The fourth proportional to 2,407.96, 3,320.24 and 1,964.48 is: 2,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.96 : 3,320.24 = 1,964.48 : x
  2. Step 2: Convert to fraction form
    2,407.96/3,320.24 = 1,964.48/x
  3. Step 3: Cross multiply
    2,407.96x = 3,320.24 × 1,964.48
  4. Step 4: Simplify right side
    2,407.96x = 6,522,545.08
  5. Step 5: Solve for x
    x = 6,522,545.08/2,407.96
  6. Step 6: Final answer
    x = 2,708.74

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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.