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Finding the Fourth Proportional to 2,407.92, 3,609.48 and 1,434.48

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Solution

The fourth proportional to 2,407.92, 3,609.48 and 1,434.48 is: 2,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.92 : 3,609.48 = 1,434.48 : x
  2. Step 2: Convert to fraction form
    2,407.92/3,609.48 = 1,434.48/x
  3. Step 3: Cross multiply
    2,407.92x = 3,609.48 × 1,434.48
  4. Step 4: Simplify right side
    2,407.92x = 5,177,726.87
  5. Step 5: Solve for x
    x = 5,177,726.87/2,407.92
  6. Step 6: Final answer
    x = 2,150.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.