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Finding the Fourth Proportional to 2,062.52, 3,078.84 and 1,924.20

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Solution

The fourth proportional to 2,062.52, 3,078.84 and 1,924.20 is: 2,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.52 : 3,078.84 = 1,924.20 : x
  2. Step 2: Convert to fraction form
    2,062.52/3,078.84 = 1,924.20/x
  3. Step 3: Cross multiply
    2,062.52x = 3,078.84 × 1,924.20
  4. Step 4: Simplify right side
    2,062.52x = 5,924,303.93
  5. Step 5: Solve for x
    x = 5,924,303.93/2,062.52
  6. Step 6: Final answer
    x = 2,872.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.