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Finding the Fourth Proportional to 1,817.47, 2,507.25 and 1,228.20

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Solution

The fourth proportional to 1,817.47, 2,507.25 and 1,228.20 is: 1,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.47 : 2,507.25 = 1,228.20 : x
  2. Step 2: Convert to fraction form
    1,817.47/2,507.25 = 1,228.20/x
  3. Step 3: Cross multiply
    1,817.47x = 2,507.25 × 1,228.20
  4. Step 4: Simplify right side
    1,817.47x = 3,079,404.45
  5. Step 5: Solve for x
    x = 3,079,404.45/1,817.47
  6. Step 6: Final answer
    x = 1,694.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.