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Finding the Fourth Proportional to 2,817.69, 4,225.86 and 1,174.26

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Solution

The fourth proportional to 2,817.69, 4,225.86 and 1,174.26 is: 1,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.69 : 4,225.86 = 1,174.26 : x
  2. Step 2: Convert to fraction form
    2,817.69/4,225.86 = 1,174.26/x
  3. Step 3: Cross multiply
    2,817.69x = 4,225.86 × 1,174.26
  4. Step 4: Simplify right side
    2,817.69x = 4,962,258.36
  5. Step 5: Solve for x
    x = 4,962,258.36/2,817.69
  6. Step 6: Final answer
    x = 1,761.11

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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.