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Finding the Fourth Proportional to 2,588.22, 3,882.51 and 858.06

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Solution

The fourth proportional to 2,588.22, 3,882.51 and 858.06 is: 1,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.22 : 3,882.51 = 858.06 : x
  2. Step 2: Convert to fraction form
    2,588.22/3,882.51 = 858.06/x
  3. Step 3: Cross multiply
    2,588.22x = 3,882.51 × 858.06
  4. Step 4: Simplify right side
    2,588.22x = 3,331,426.53
  5. Step 5: Solve for x
    x = 3,331,426.53/2,588.22
  6. Step 6: Final answer
    x = 1,287.15

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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.