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Finding the Fourth Proportional to 2,887.20, 4,321.20 and 2,023.20

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Solution

The fourth proportional to 2,887.20, 4,321.20 and 2,023.20 is: 3,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.20 : 4,321.20 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    2,887.20/4,321.20 = 2,023.20/x
  3. Step 3: Cross multiply
    2,887.20x = 4,321.20 × 2,023.20
  4. Step 4: Simplify right side
    2,887.20x = 8,742,651.84
  5. Step 5: Solve for x
    x = 8,742,651.84/2,887.20
  6. Step 6: Final answer
    x = 3,028.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.