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Finding the Fourth Proportional to 1,832.54, 2,545.85 and 1,815.48

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Solution

The fourth proportional to 1,832.54, 2,545.85 and 1,815.48 is: 2,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.54 : 2,545.85 = 1,815.48 : x
  2. Step 2: Convert to fraction form
    1,832.54/2,545.85 = 1,815.48/x
  3. Step 3: Cross multiply
    1,832.54x = 2,545.85 × 1,815.48
  4. Step 4: Simplify right side
    1,832.54x = 4,621,944.30
  5. Step 5: Solve for x
    x = 4,621,944.30/1,832.54
  6. Step 6: Final answer
    x = 2,522.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.