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Finding the Fourth Proportional to 2,520.88, 3,784.56 and 2,138.56

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Solution

The fourth proportional to 2,520.88, 3,784.56 and 2,138.56 is: 3,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.88 : 3,784.56 = 2,138.56 : x
  2. Step 2: Convert to fraction form
    2,520.88/3,784.56 = 2,138.56/x
  3. Step 3: Cross multiply
    2,520.88x = 3,784.56 × 2,138.56
  4. Step 4: Simplify right side
    2,520.88x = 8,093,508.63
  5. Step 5: Solve for x
    x = 8,093,508.63/2,520.88
  6. Step 6: Final answer
    x = 3,210.59

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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.