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Finding the Fourth Proportional to 1,691.88, 2,538.22 and 537.63

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Solution

The fourth proportional to 1,691.88, 2,538.22 and 537.63 is: 806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.88 : 2,538.22 = 537.63 : x
  2. Step 2: Convert to fraction form
    1,691.88/2,538.22 = 537.63/x
  3. Step 3: Cross multiply
    1,691.88x = 2,538.22 × 537.63
  4. Step 4: Simplify right side
    1,691.88x = 1,364,623.22
  5. Step 5: Solve for x
    x = 1,364,623.22/1,691.88
  6. Step 6: Final answer
    x = 806.57

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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.