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Finding the Fourth Proportional to 1,809.66, 2,716.11 and 1,262.24

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Solution

The fourth proportional to 1,809.66, 2,716.11 and 1,262.24 is: 1,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.66 : 2,716.11 = 1,262.24 : x
  2. Step 2: Convert to fraction form
    1,809.66/2,716.11 = 1,262.24/x
  3. Step 3: Cross multiply
    1,809.66x = 2,716.11 × 1,262.24
  4. Step 4: Simplify right side
    1,809.66x = 3,428,369.11
  5. Step 5: Solve for x
    x = 3,428,369.11/1,809.66
  6. Step 6: Final answer
    x = 1,894.48

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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.