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Finding the Fourth Proportional to 1,422.90, 2,134.36 and 691.85

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Solution

The fourth proportional to 1,422.90, 2,134.36 and 691.85 is: 1,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.90 : 2,134.36 = 691.85 : x
  2. Step 2: Convert to fraction form
    1,422.90/2,134.36 = 691.85/x
  3. Step 3: Cross multiply
    1,422.90x = 2,134.36 × 691.85
  4. Step 4: Simplify right side
    1,422.90x = 1,476,653.51
  5. Step 5: Solve for x
    x = 1,476,653.51/1,422.90
  6. Step 6: Final answer
    x = 1,037.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.