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Finding the Fourth Proportional to 2,174.30, 3,259.05 and 1,201.10

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Solution

The fourth proportional to 2,174.30, 3,259.05 and 1,201.10 is: 1,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.30 : 3,259.05 = 1,201.10 : x
  2. Step 2: Convert to fraction form
    2,174.30/3,259.05 = 1,201.10/x
  3. Step 3: Cross multiply
    2,174.30x = 3,259.05 × 1,201.10
  4. Step 4: Simplify right side
    2,174.30x = 3,914,444.96
  5. Step 5: Solve for x
    x = 3,914,444.96/2,174.30
  6. Step 6: Final answer
    x = 1,800.32

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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.