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Finding the Fourth Proportional to 2,585.78, 3,878.40 and 832.04

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Solution

The fourth proportional to 2,585.78, 3,878.40 and 832.04 is: 1,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.78 : 3,878.40 = 832.04 : x
  2. Step 2: Convert to fraction form
    2,585.78/3,878.40 = 832.04/x
  3. Step 3: Cross multiply
    2,585.78x = 3,878.40 × 832.04
  4. Step 4: Simplify right side
    2,585.78x = 3,226,964.54
  5. Step 5: Solve for x
    x = 3,226,964.54/2,585.78
  6. Step 6: Final answer
    x = 1,247.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.