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Finding the Fourth Proportional to 1,863, 2,572.02 and 1,243.08

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Solution

The fourth proportional to 1,863, 2,572.02 and 1,243.08 is: 1,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863 : 2,572.02 = 1,243.08 : x
  2. Step 2: Convert to fraction form
    1,863/2,572.02 = 1,243.08/x
  3. Step 3: Cross multiply
    1,863x = 2,572.02 × 1,243.08
  4. Step 4: Simplify right side
    1,863x = 3,197,226.62
  5. Step 5: Solve for x
    x = 3,197,226.62/1,863
  6. Step 6: Final answer
    x = 1,716.17

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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.