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Finding the Fourth Proportional to 2,275.49, 3,410.40 and 813.04

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Solution

The fourth proportional to 2,275.49, 3,410.40 and 813.04 is: 1,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.49 : 3,410.40 = 813.04 : x
  2. Step 2: Convert to fraction form
    2,275.49/3,410.40 = 813.04/x
  3. Step 3: Cross multiply
    2,275.49x = 3,410.40 × 813.04
  4. Step 4: Simplify right side
    2,275.49x = 2,772,786.14
  5. Step 5: Solve for x
    x = 2,772,786.14/2,275.49
  6. Step 6: Final answer
    x = 1,218.54

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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.