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Finding the Fourth Proportional to 2,652.82, 3,974.46 and 2,496.64

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Solution

The fourth proportional to 2,652.82, 3,974.46 and 2,496.64 is: 3,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.82 : 3,974.46 = 2,496.64 : x
  2. Step 2: Convert to fraction form
    2,652.82/3,974.46 = 2,496.64/x
  3. Step 3: Cross multiply
    2,652.82x = 3,974.46 × 2,496.64
  4. Step 4: Simplify right side
    2,652.82x = 9,922,795.81
  5. Step 5: Solve for x
    x = 9,922,795.81/2,652.82
  6. Step 6: Final answer
    x = 3,740.47

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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.