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Finding the Fourth Proportional to 2,803.40, 4,202.10 and 952.80

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Solution

The fourth proportional to 2,803.40, 4,202.10 and 952.80 is: 1,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.40 : 4,202.10 = 952.80 : x
  2. Step 2: Convert to fraction form
    2,803.40/4,202.10 = 952.80/x
  3. Step 3: Cross multiply
    2,803.40x = 4,202.10 × 952.80
  4. Step 4: Simplify right side
    2,803.40x = 4,003,760.88
  5. Step 5: Solve for x
    x = 4,003,760.88/2,803.40
  6. Step 6: Final answer
    x = 1,428.18

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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.