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Finding the Fourth Proportional to 2,503.74, 3,752.97 and 1,202.46

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Solution

The fourth proportional to 2,503.74, 3,752.97 and 1,202.46 is: 1,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.74 : 3,752.97 = 1,202.46 : x
  2. Step 2: Convert to fraction form
    2,503.74/3,752.97 = 1,202.46/x
  3. Step 3: Cross multiply
    2,503.74x = 3,752.97 × 1,202.46
  4. Step 4: Simplify right side
    2,503.74x = 4,512,796.31
  5. Step 5: Solve for x
    x = 4,512,796.31/2,503.74
  6. Step 6: Final answer
    x = 1,802.42

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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.