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Finding the Fourth Proportional to 1,634.18, 2,448.63 and 800.28

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Solution

The fourth proportional to 1,634.18, 2,448.63 and 800.28 is: 1,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.18 : 2,448.63 = 800.28 : x
  2. Step 2: Convert to fraction form
    1,634.18/2,448.63 = 800.28/x
  3. Step 3: Cross multiply
    1,634.18x = 2,448.63 × 800.28
  4. Step 4: Simplify right side
    1,634.18x = 1,959,589.62
  5. Step 5: Solve for x
    x = 1,959,589.62/1,634.18
  6. Step 6: Final answer
    x = 1,199.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.