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Finding the Fourth Proportional to 2,327.67, 3,491.98 and 866.70

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Solution

The fourth proportional to 2,327.67, 3,491.98 and 866.70 is: 1,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.67 : 3,491.98 = 866.70 : x
  2. Step 2: Convert to fraction form
    2,327.67/3,491.98 = 866.70/x
  3. Step 3: Cross multiply
    2,327.67x = 3,491.98 × 866.70
  4. Step 4: Simplify right side
    2,327.67x = 3,026,496.90
  5. Step 5: Solve for x
    x = 3,026,496.90/2,327.67
  6. Step 6: Final answer
    x = 1,300.23

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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.