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Finding the Fourth Proportional to 2,568.04, 3,853.50 and 1,087.08

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Solution

The fourth proportional to 2,568.04, 3,853.50 and 1,087.08 is: 1,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.04 : 3,853.50 = 1,087.08 : x
  2. Step 2: Convert to fraction form
    2,568.04/3,853.50 = 1,087.08/x
  3. Step 3: Cross multiply
    2,568.04x = 3,853.50 × 1,087.08
  4. Step 4: Simplify right side
    2,568.04x = 4,189,062.78
  5. Step 5: Solve for x
    x = 4,189,062.78/2,568.04
  6. Step 6: Final answer
    x = 1,631.23

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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.