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Finding the Fourth Proportional to 2,212.57, 3,317.01 and 825.13

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Solution

The fourth proportional to 2,212.57, 3,317.01 and 825.13 is: 1,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.57 : 3,317.01 = 825.13 : x
  2. Step 2: Convert to fraction form
    2,212.57/3,317.01 = 825.13/x
  3. Step 3: Cross multiply
    2,212.57x = 3,317.01 × 825.13
  4. Step 4: Simplify right side
    2,212.57x = 2,736,964.46
  5. Step 5: Solve for x
    x = 2,736,964.46/2,212.57
  6. Step 6: Final answer
    x = 1,237.01

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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.