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Finding the Fourth Proportional to 2,434.56, 3,367.20 and 2,172.24

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Solution

The fourth proportional to 2,434.56, 3,367.20 and 2,172.24 is: 3,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.56 : 3,367.20 = 2,172.24 : x
  2. Step 2: Convert to fraction form
    2,434.56/3,367.20 = 2,172.24/x
  3. Step 3: Cross multiply
    2,434.56x = 3,367.20 × 2,172.24
  4. Step 4: Simplify right side
    2,434.56x = 7,314,366.53
  5. Step 5: Solve for x
    x = 7,314,366.53/2,434.56
  6. Step 6: Final answer
    x = 3,004.39

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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.