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Finding the Fourth Proportional to 2,275.47, 3,410.78 and 814.19

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Solution

The fourth proportional to 2,275.47, 3,410.78 and 814.19 is: 1,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.47 : 3,410.78 = 814.19 : x
  2. Step 2: Convert to fraction form
    2,275.47/3,410.78 = 814.19/x
  3. Step 3: Cross multiply
    2,275.47x = 3,410.78 × 814.19
  4. Step 4: Simplify right side
    2,275.47x = 2,777,001.84
  5. Step 5: Solve for x
    x = 2,777,001.84/2,275.47
  6. Step 6: Final answer
    x = 1,220.41

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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.