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Finding the Fourth Proportional to 1,794.14, 2,469.17 and 1,518

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Solution

The fourth proportional to 1,794.14, 2,469.17 and 1,518 is: 2,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.14 : 2,469.17 = 1,518 : x
  2. Step 2: Convert to fraction form
    1,794.14/2,469.17 = 1,518/x
  3. Step 3: Cross multiply
    1,794.14x = 2,469.17 × 1,518
  4. Step 4: Simplify right side
    1,794.14x = 3,748,192.47
  5. Step 5: Solve for x
    x = 3,748,192.47/1,794.14
  6. Step 6: Final answer
    x = 2,089.14

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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.