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Finding the Fourth Proportional to 1,633.47, 2,449.67 and 537.58

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Solution

The fourth proportional to 1,633.47, 2,449.67 and 537.58 is: 806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.47 : 2,449.67 = 537.58 : x
  2. Step 2: Convert to fraction form
    1,633.47/2,449.67 = 537.58/x
  3. Step 3: Cross multiply
    1,633.47x = 2,449.67 × 537.58
  4. Step 4: Simplify right side
    1,633.47x = 1,316,881.35
  5. Step 5: Solve for x
    x = 1,316,881.35/1,633.47
  6. Step 6: Final answer
    x = 806.19

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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.