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Finding the Fourth Proportional to 2,148.80, 3,223.20 and 2,027.30

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Solution

The fourth proportional to 2,148.80, 3,223.20 and 2,027.30 is: 3,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.80 : 3,223.20 = 2,027.30 : x
  2. Step 2: Convert to fraction form
    2,148.80/3,223.20 = 2,027.30/x
  3. Step 3: Cross multiply
    2,148.80x = 3,223.20 × 2,027.30
  4. Step 4: Simplify right side
    2,148.80x = 6,534,393.36
  5. Step 5: Solve for x
    x = 6,534,393.36/2,148.80
  6. Step 6: Final answer
    x = 3,040.95

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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.