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Finding the Fourth Proportional to 2,558.08, 3,832.80 and 2,044

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Solution

The fourth proportional to 2,558.08, 3,832.80 and 2,044 is: 3,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.08 : 3,832.80 = 2,044 : x
  2. Step 2: Convert to fraction form
    2,558.08/3,832.80 = 2,044/x
  3. Step 3: Cross multiply
    2,558.08x = 3,832.80 × 2,044
  4. Step 4: Simplify right side
    2,558.08x = 7,834,243.20
  5. Step 5: Solve for x
    x = 7,834,243.20/2,558.08
  6. Step 6: Final answer
    x = 3,062.55

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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.