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Finding the Fourth Proportional to 2,212.39, 3,317.66 and 651.82

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Solution

The fourth proportional to 2,212.39, 3,317.66 and 651.82 is: 977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.39 : 3,317.66 = 651.82 : x
  2. Step 2: Convert to fraction form
    2,212.39/3,317.66 = 651.82/x
  3. Step 3: Cross multiply
    2,212.39x = 3,317.66 × 651.82
  4. Step 4: Simplify right side
    2,212.39x = 2,162,514.25
  5. Step 5: Solve for x
    x = 2,162,514.25/2,212.39
  6. Step 6: Final answer
    x = 977.46

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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.