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Finding the Fourth Proportional to 2,496.14, 3,743.72 and 852.51

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Solution

The fourth proportional to 2,496.14, 3,743.72 and 852.51 is: 1,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.14 : 3,743.72 = 852.51 : x
  2. Step 2: Convert to fraction form
    2,496.14/3,743.72 = 852.51/x
  3. Step 3: Cross multiply
    2,496.14x = 3,743.72 × 852.51
  4. Step 4: Simplify right side
    2,496.14x = 3,191,560.87
  5. Step 5: Solve for x
    x = 3,191,560.87/2,496.14
  6. Step 6: Final answer
    x = 1,278.60

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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.