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Finding the Fourth Proportional to 1,994.22, 2,752.09 and 1,098.06

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Solution

The fourth proportional to 1,994.22, 2,752.09 and 1,098.06 is: 1,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.22 : 2,752.09 = 1,098.06 : x
  2. Step 2: Convert to fraction form
    1,994.22/2,752.09 = 1,098.06/x
  3. Step 3: Cross multiply
    1,994.22x = 2,752.09 × 1,098.06
  4. Step 4: Simplify right side
    1,994.22x = 3,021,954.46
  5. Step 5: Solve for x
    x = 3,021,954.46/1,994.22
  6. Step 6: Final answer
    x = 1,515.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.