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Finding the Fourth Proportional to 2,216.64, 3,325.12 and 918.40

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Solution

The fourth proportional to 2,216.64, 3,325.12 and 918.40 is: 1,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.64 : 3,325.12 = 918.40 : x
  2. Step 2: Convert to fraction form
    2,216.64/3,325.12 = 918.40/x
  3. Step 3: Cross multiply
    2,216.64x = 3,325.12 × 918.40
  4. Step 4: Simplify right side
    2,216.64x = 3,053,790.21
  5. Step 5: Solve for x
    x = 3,053,790.21/2,216.64
  6. Step 6: Final answer
    x = 1,377.67

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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.