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Finding the Fourth Proportional to 2,314.51, 3,469.69 and 852.64

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Solution

The fourth proportional to 2,314.51, 3,469.69 and 852.64 is: 1,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.51 : 3,469.69 = 852.64 : x
  2. Step 2: Convert to fraction form
    2,314.51/3,469.69 = 852.64/x
  3. Step 3: Cross multiply
    2,314.51x = 3,469.69 × 852.64
  4. Step 4: Simplify right side
    2,314.51x = 2,958,396.48
  5. Step 5: Solve for x
    x = 2,958,396.48/2,314.51
  6. Step 6: Final answer
    x = 1,278.20

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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.