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Finding the Fourth Proportional to 2,198.60, 3,297.90 and 555.13

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Solution

The fourth proportional to 2,198.60, 3,297.90 and 555.13 is: 832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.60 : 3,297.90 = 555.13 : x
  2. Step 2: Convert to fraction form
    2,198.60/3,297.90 = 555.13/x
  3. Step 3: Cross multiply
    2,198.60x = 3,297.90 × 555.13
  4. Step 4: Simplify right side
    2,198.60x = 1,830,769.43
  5. Step 5: Solve for x
    x = 1,830,769.43/2,198.60
  6. Step 6: Final answer
    x = 832.70

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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.