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Finding the Fourth Proportional to 3,233.66, 4,463.71 and 2,290.82

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Solution

The fourth proportional to 3,233.66, 4,463.71 and 2,290.82 is: 3,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.66 : 4,463.71 = 2,290.82 : x
  2. Step 2: Convert to fraction form
    3,233.66/4,463.71 = 2,290.82/x
  3. Step 3: Cross multiply
    3,233.66x = 4,463.71 × 2,290.82
  4. Step 4: Simplify right side
    3,233.66x = 10,225,528.10
  5. Step 5: Solve for x
    x = 10,225,528.10/3,233.66
  6. Step 6: Final answer
    x = 3,162.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.