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Finding the Fourth Proportional to 1,691.46, 2,537.24 and 595.58

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Solution

The fourth proportional to 1,691.46, 2,537.24 and 595.58 is: 893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.46 : 2,537.24 = 595.58 : x
  2. Step 2: Convert to fraction form
    1,691.46/2,537.24 = 595.58/x
  3. Step 3: Cross multiply
    1,691.46x = 2,537.24 × 595.58
  4. Step 4: Simplify right side
    1,691.46x = 1,511,113.74
  5. Step 5: Solve for x
    x = 1,511,113.74/1,691.46
  6. Step 6: Final answer
    x = 893.38

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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.