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Finding the Fourth Proportional to 2,201.51, 3,299.96 and 740.16

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Solution

The fourth proportional to 2,201.51, 3,299.96 and 740.16 is: 1,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.51 : 3,299.96 = 740.16 : x
  2. Step 2: Convert to fraction form
    2,201.51/3,299.96 = 740.16/x
  3. Step 3: Cross multiply
    2,201.51x = 3,299.96 × 740.16
  4. Step 4: Simplify right side
    2,201.51x = 2,442,500.24
  5. Step 5: Solve for x
    x = 2,442,500.24/2,201.51
  6. Step 6: Final answer
    x = 1,109.46

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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.