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Finding the Fourth Proportional to 2,201.58, 3,302.28 and 558.09

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Solution

The fourth proportional to 2,201.58, 3,302.28 and 558.09 is: 837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.58 : 3,302.28 = 558.09 : x
  2. Step 2: Convert to fraction form
    2,201.58/3,302.28 = 558.09/x
  3. Step 3: Cross multiply
    2,201.58x = 3,302.28 × 558.09
  4. Step 4: Simplify right side
    2,201.58x = 1,842,969.45
  5. Step 5: Solve for x
    x = 1,842,969.45/2,201.58
  6. Step 6: Final answer
    x = 837.11

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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.