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Finding the Fourth Proportional to 1,691.58, 2,537.58 and 595.74

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Solution

The fourth proportional to 1,691.58, 2,537.58 and 595.74 is: 893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.58 : 2,537.58 = 595.74 : x
  2. Step 2: Convert to fraction form
    1,691.58/2,537.58 = 595.74/x
  3. Step 3: Cross multiply
    1,691.58x = 2,537.58 × 595.74
  4. Step 4: Simplify right side
    1,691.58x = 1,511,737.91
  5. Step 5: Solve for x
    x = 1,511,737.91/1,691.58
  6. Step 6: Final answer
    x = 893.68

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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.