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Finding the Fourth Proportional to 1,672.25, 2,503.12 and 1,496.15

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Solution

The fourth proportional to 1,672.25, 2,503.12 and 1,496.15 is: 2,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.25 : 2,503.12 = 1,496.15 : x
  2. Step 2: Convert to fraction form
    1,672.25/2,503.12 = 1,496.15/x
  3. Step 3: Cross multiply
    1,672.25x = 2,503.12 × 1,496.15
  4. Step 4: Simplify right side
    1,672.25x = 3,745,022.99
  5. Step 5: Solve for x
    x = 3,745,022.99/1,672.25
  6. Step 6: Final answer
    x = 2,239.51

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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.