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Finding the Fourth Proportional to 1,622.11, 2,434.13 and 800.47

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Solution

The fourth proportional to 1,622.11, 2,434.13 and 800.47 is: 1,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.11 : 2,434.13 = 800.47 : x
  2. Step 2: Convert to fraction form
    1,622.11/2,434.13 = 800.47/x
  3. Step 3: Cross multiply
    1,622.11x = 2,434.13 × 800.47
  4. Step 4: Simplify right side
    1,622.11x = 1,948,448.04
  5. Step 5: Solve for x
    x = 1,948,448.04/1,622.11
  6. Step 6: Final answer
    x = 1,201.18

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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.