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Finding the Fourth Proportional to 2,588.72, 3,883.26 and 858.56

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Solution

The fourth proportional to 2,588.72, 3,883.26 and 858.56 is: 1,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.72 : 3,883.26 = 858.56 : x
  2. Step 2: Convert to fraction form
    2,588.72/3,883.26 = 858.56/x
  3. Step 3: Cross multiply
    2,588.72x = 3,883.26 × 858.56
  4. Step 4: Simplify right side
    2,588.72x = 3,334,011.71
  5. Step 5: Solve for x
    x = 3,334,011.71/2,588.72
  6. Step 6: Final answer
    x = 1,287.90

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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.