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Finding the Fourth Proportional to 1,834.83, 2,752.11 and 602.22

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Solution

The fourth proportional to 1,834.83, 2,752.11 and 602.22 is: 903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.83 : 2,752.11 = 602.22 : x
  2. Step 2: Convert to fraction form
    1,834.83/2,752.11 = 602.22/x
  3. Step 3: Cross multiply
    1,834.83x = 2,752.11 × 602.22
  4. Step 4: Simplify right side
    1,834.83x = 1,657,375.68
  5. Step 5: Solve for x
    x = 1,657,375.68/1,834.83
  6. Step 6: Final answer
    x = 903.29

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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.