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Finding the Fourth Proportional to 2,283.11, 3,424.66 and 723.11

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Solution

The fourth proportional to 2,283.11, 3,424.66 and 723.11 is: 1,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.11 : 3,424.66 = 723.11 : x
  2. Step 2: Convert to fraction form
    2,283.11/3,424.66 = 723.11/x
  3. Step 3: Cross multiply
    2,283.11x = 3,424.66 × 723.11
  4. Step 4: Simplify right side
    2,283.11x = 2,476,412.65
  5. Step 5: Solve for x
    x = 2,476,412.65/2,283.11
  6. Step 6: Final answer
    x = 1,084.67

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Why These Related Problems?

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