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Finding the Fourth Proportional to 2,201.46, 3,301.02 and 740.14

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Solution

The fourth proportional to 2,201.46, 3,301.02 and 740.14 is: 1,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.46 : 3,301.02 = 740.14 : x
  2. Step 2: Convert to fraction form
    2,201.46/3,301.02 = 740.14/x
  3. Step 3: Cross multiply
    2,201.46x = 3,301.02 × 740.14
  4. Step 4: Simplify right side
    2,201.46x = 2,443,216.94
  5. Step 5: Solve for x
    x = 2,443,216.94/2,201.46
  6. Step 6: Final answer
    x = 1,109.82

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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.