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Finding the Fourth Proportional to 2,198.74, 3,298.08 and 555.28

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Solution

The fourth proportional to 2,198.74, 3,298.08 and 555.28 is: 832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.74 : 3,298.08 = 555.28 : x
  2. Step 2: Convert to fraction form
    2,198.74/3,298.08 = 555.28/x
  3. Step 3: Cross multiply
    2,198.74x = 3,298.08 × 555.28
  4. Step 4: Simplify right side
    2,198.74x = 1,831,349.62
  5. Step 5: Solve for x
    x = 1,831,349.62/2,198.74
  6. Step 6: Final answer
    x = 832.91

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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.