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Finding the Fourth Proportional to 1,632.97, 2,449.57 and 810.41

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Solution

The fourth proportional to 1,632.97, 2,449.57 and 810.41 is: 1,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.97 : 2,449.57 = 810.41 : x
  2. Step 2: Convert to fraction form
    1,632.97/2,449.57 = 810.41/x
  3. Step 3: Cross multiply
    1,632.97x = 2,449.57 × 810.41
  4. Step 4: Simplify right side
    1,632.97x = 1,985,160.12
  5. Step 5: Solve for x
    x = 1,985,160.12/1,632.97
  6. Step 6: Final answer
    x = 1,215.68

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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.