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Finding the Fourth Proportional to 1,633.13, 2,449.78 and 537.47

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Solution

The fourth proportional to 1,633.13, 2,449.78 and 537.47 is: 806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.13 : 2,449.78 = 537.47 : x
  2. Step 2: Convert to fraction form
    1,633.13/2,449.78 = 537.47/x
  3. Step 3: Cross multiply
    1,633.13x = 2,449.78 × 537.47
  4. Step 4: Simplify right side
    1,633.13x = 1,316,683.26
  5. Step 5: Solve for x
    x = 1,316,683.26/1,633.13
  6. Step 6: Final answer
    x = 806.23

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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.