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Finding the Fourth Proportional to 2,216.94, 3,324 and 1,176.28

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Solution

The fourth proportional to 2,216.94, 3,324 and 1,176.28 is: 1,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.94 : 3,324 = 1,176.28 : x
  2. Step 2: Convert to fraction form
    2,216.94/3,324 = 1,176.28/x
  3. Step 3: Cross multiply
    2,216.94x = 3,324 × 1,176.28
  4. Step 4: Simplify right side
    2,216.94x = 3,909,954.72
  5. Step 5: Solve for x
    x = 3,909,954.72/2,216.94
  6. Step 6: Final answer
    x = 1,763.67

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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.