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Finding the Fourth Proportional to 1,608.40, 2,416.20 and 1,542.80

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Solution

The fourth proportional to 1,608.40, 2,416.20 and 1,542.80 is: 2,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.40 : 2,416.20 = 1,542.80 : x
  2. Step 2: Convert to fraction form
    1,608.40/2,416.20 = 1,542.80/x
  3. Step 3: Cross multiply
    1,608.40x = 2,416.20 × 1,542.80
  4. Step 4: Simplify right side
    1,608.40x = 3,727,713.36
  5. Step 5: Solve for x
    x = 3,727,713.36/1,608.40
  6. Step 6: Final answer
    x = 2,317.65

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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.