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Finding the Fourth Proportional to 2,672.48, 3,687.62 and 1,522.68

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Solution

The fourth proportional to 2,672.48, 3,687.62 and 1,522.68 is: 2,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.48 : 3,687.62 = 1,522.68 : x
  2. Step 2: Convert to fraction form
    2,672.48/3,687.62 = 1,522.68/x
  3. Step 3: Cross multiply
    2,672.48x = 3,687.62 × 1,522.68
  4. Step 4: Simplify right side
    2,672.48x = 5,615,077.37
  5. Step 5: Solve for x
    x = 5,615,077.37/2,672.48
  6. Step 6: Final answer
    x = 2,101.08

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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.