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Finding the Fourth Proportional to 2,496.74, 3,742.59 and 852.15

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Solution

The fourth proportional to 2,496.74, 3,742.59 and 852.15 is: 1,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.74 : 3,742.59 = 852.15 : x
  2. Step 2: Convert to fraction form
    2,496.74/3,742.59 = 852.15/x
  3. Step 3: Cross multiply
    2,496.74x = 3,742.59 × 852.15
  4. Step 4: Simplify right side
    2,496.74x = 3,189,265.30
  5. Step 5: Solve for x
    x = 3,189,265.30/2,496.74
  6. Step 6: Final answer
    x = 1,277.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.