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Finding the Fourth Proportional to 1,691.33, 2,538.11 and 595.69

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Solution

The fourth proportional to 1,691.33, 2,538.11 and 595.69 is: 893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.33 : 2,538.11 = 595.69 : x
  2. Step 2: Convert to fraction form
    1,691.33/2,538.11 = 595.69/x
  3. Step 3: Cross multiply
    1,691.33x = 2,538.11 × 595.69
  4. Step 4: Simplify right side
    1,691.33x = 1,511,921.89
  5. Step 5: Solve for x
    x = 1,511,921.89/1,691.33
  6. Step 6: Final answer
    x = 893.93

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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.