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Finding the Fourth Proportional to 2,588.44, 3,881.72 and 856.68

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Solution

The fourth proportional to 2,588.44, 3,881.72 and 856.68 is: 1,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.44 : 3,881.72 = 856.68 : x
  2. Step 2: Convert to fraction form
    2,588.44/3,881.72 = 856.68/x
  3. Step 3: Cross multiply
    2,588.44x = 3,881.72 × 856.68
  4. Step 4: Simplify right side
    2,588.44x = 3,325,391.89
  5. Step 5: Solve for x
    x = 3,325,391.89/2,588.44
  6. Step 6: Final answer
    x = 1,284.71

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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.