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Finding the Fourth Proportional to 2,555.10, 3,832.68 and 800.04

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Solution

The fourth proportional to 2,555.10, 3,832.68 and 800.04 is: 1,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.10 : 3,832.68 = 800.04 : x
  2. Step 2: Convert to fraction form
    2,555.10/3,832.68 = 800.04/x
  3. Step 3: Cross multiply
    2,555.10x = 3,832.68 × 800.04
  4. Step 4: Simplify right side
    2,555.10x = 3,066,297.31
  5. Step 5: Solve for x
    x = 3,066,297.31/2,555.10
  6. Step 6: Final answer
    x = 1,200.07

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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.