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Finding the Fourth Proportional to 1,633.14, 2,448.17 and 810.62

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Solution

The fourth proportional to 1,633.14, 2,448.17 and 810.62 is: 1,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.14 : 2,448.17 = 810.62 : x
  2. Step 2: Convert to fraction form
    1,633.14/2,448.17 = 810.62/x
  3. Step 3: Cross multiply
    1,633.14x = 2,448.17 × 810.62
  4. Step 4: Simplify right side
    1,633.14x = 1,984,543.71
  5. Step 5: Solve for x
    x = 1,984,543.71/1,633.14
  6. Step 6: Final answer
    x = 1,215.17

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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.