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Finding the Fourth Proportional to 2,044.04, 3,066.36 and 811.41

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Solution

The fourth proportional to 2,044.04, 3,066.36 and 811.41 is: 1,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.04 : 3,066.36 = 811.41 : x
  2. Step 2: Convert to fraction form
    2,044.04/3,066.36 = 811.41/x
  3. Step 3: Cross multiply
    2,044.04x = 3,066.36 × 811.41
  4. Step 4: Simplify right side
    2,044.04x = 2,488,075.17
  5. Step 5: Solve for x
    x = 2,488,075.17/2,044.04
  6. Step 6: Final answer
    x = 1,217.24

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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.