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Finding the Fourth Proportional to 2,317.82, 3,476.09 and 651.85

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Solution

The fourth proportional to 2,317.82, 3,476.09 and 651.85 is: 977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.82 : 3,476.09 = 651.85 : x
  2. Step 2: Convert to fraction form
    2,317.82/3,476.09 = 651.85/x
  3. Step 3: Cross multiply
    2,317.82x = 3,476.09 × 651.85
  4. Step 4: Simplify right side
    2,317.82x = 2,265,882.21
  5. Step 5: Solve for x
    x = 2,265,882.21/2,317.82
  6. Step 6: Final answer
    x = 977.59

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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.