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Finding the Fourth Proportional to 1,691.40, 2,537.14 and 537.14

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Solution

The fourth proportional to 1,691.40, 2,537.14 and 537.14 is: 805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.40 : 2,537.14 = 537.14 : x
  2. Step 2: Convert to fraction form
    1,691.40/2,537.14 = 537.14/x
  3. Step 3: Cross multiply
    1,691.40x = 2,537.14 × 537.14
  4. Step 4: Simplify right side
    1,691.40x = 1,362,799.38
  5. Step 5: Solve for x
    x = 1,362,799.38/1,691.40
  6. Step 6: Final answer
    x = 805.72

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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.