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Finding the Fourth Proportional to 2,224.67, 3,071.05 and 1,429.15

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Solution

The fourth proportional to 2,224.67, 3,071.05 and 1,429.15 is: 1,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.67 : 3,071.05 = 1,429.15 : x
  2. Step 2: Convert to fraction form
    2,224.67/3,071.05 = 1,429.15/x
  3. Step 3: Cross multiply
    2,224.67x = 3,071.05 × 1,429.15
  4. Step 4: Simplify right side
    2,224.67x = 4,388,991.11
  5. Step 5: Solve for x
    x = 4,388,991.11/2,224.67
  6. Step 6: Final answer
    x = 1,972.87

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Why These Related Problems?

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