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Finding the Fourth Proportional to 2,321.16, 3,480.90 and 677.28

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Solution

The fourth proportional to 2,321.16, 3,480.90 and 677.28 is: 1,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.16 : 3,480.90 = 677.28 : x
  2. Step 2: Convert to fraction form
    2,321.16/3,480.90 = 677.28/x
  3. Step 3: Cross multiply
    2,321.16x = 3,480.90 × 677.28
  4. Step 4: Simplify right side
    2,321.16x = 2,357,543.95
  5. Step 5: Solve for x
    x = 2,357,543.95/2,321.16
  6. Step 6: Final answer
    x = 1,015.67

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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.