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Finding the Fourth Proportional to 2,174.41, 3,259.10 and 1,001.96

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Solution

The fourth proportional to 2,174.41, 3,259.10 and 1,001.96 is: 1,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.41 : 3,259.10 = 1,001.96 : x
  2. Step 2: Convert to fraction form
    2,174.41/3,259.10 = 1,001.96/x
  3. Step 3: Cross multiply
    2,174.41x = 3,259.10 × 1,001.96
  4. Step 4: Simplify right side
    2,174.41x = 3,265,477.18
  5. Step 5: Solve for x
    x = 3,265,477.18/2,174.41
  6. Step 6: Final answer
    x = 1,501.78

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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.