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Finding the Fourth Proportional to 1,691.56, 2,537.74 and 537.32

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Solution

The fourth proportional to 1,691.56, 2,537.74 and 537.32 is: 806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.56 : 2,537.74 = 537.32 : x
  2. Step 2: Convert to fraction form
    1,691.56/2,537.74 = 537.32/x
  3. Step 3: Cross multiply
    1,691.56x = 2,537.74 × 537.32
  4. Step 4: Simplify right side
    1,691.56x = 1,363,578.46
  5. Step 5: Solve for x
    x = 1,363,578.46/1,691.56
  6. Step 6: Final answer
    x = 806.11

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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.