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Finding the Fourth Proportional to 2,328.55, 3,491.92 and 866.91

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Solution

The fourth proportional to 2,328.55, 3,491.92 and 866.91 is: 1,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.55 : 3,491.92 = 866.91 : x
  2. Step 2: Convert to fraction form
    2,328.55/3,491.92 = 866.91/x
  3. Step 3: Cross multiply
    2,328.55x = 3,491.92 × 866.91
  4. Step 4: Simplify right side
    2,328.55x = 3,027,180.37
  5. Step 5: Solve for x
    x = 3,027,180.37/2,328.55
  6. Step 6: Final answer
    x = 1,300.03

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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.