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Finding the Fourth Proportional to 2,201.08, 3,302.14 and 1,046.52

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Solution

The fourth proportional to 2,201.08, 3,302.14 and 1,046.52 is: 1,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.08 : 3,302.14 = 1,046.52 : x
  2. Step 2: Convert to fraction form
    2,201.08/3,302.14 = 1,046.52/x
  3. Step 3: Cross multiply
    2,201.08x = 3,302.14 × 1,046.52
  4. Step 4: Simplify right side
    2,201.08x = 3,455,755.55
  5. Step 5: Solve for x
    x = 3,455,755.55/2,201.08
  6. Step 6: Final answer
    x = 1,570.03

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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.