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Finding the Fourth Proportional to 1,617.98, 2,426.36 and 740.75

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Solution

The fourth proportional to 1,617.98, 2,426.36 and 740.75 is: 1,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.98 : 2,426.36 = 740.75 : x
  2. Step 2: Convert to fraction form
    1,617.98/2,426.36 = 740.75/x
  3. Step 3: Cross multiply
    1,617.98x = 2,426.36 × 740.75
  4. Step 4: Simplify right side
    1,617.98x = 1,797,310.33
  5. Step 5: Solve for x
    x = 1,797,310.33/1,617.98
  6. Step 6: Final answer
    x = 1,110.84

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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.