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Finding the Fourth Proportional to 2,202.64, 3,297.84 and 1,507.84

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Solution

The fourth proportional to 2,202.64, 3,297.84 and 1,507.84 is: 2,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.64 : 3,297.84 = 1,507.84 : x
  2. Step 2: Convert to fraction form
    2,202.64/3,297.84 = 1,507.84/x
  3. Step 3: Cross multiply
    2,202.64x = 3,297.84 × 1,507.84
  4. Step 4: Simplify right side
    2,202.64x = 4,972,615.07
  5. Step 5: Solve for x
    x = 4,972,615.07/2,202.64
  6. Step 6: Final answer
    x = 2,257.57

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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.