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Finding the Fourth Proportional to 2,231.09, 3,346.35 and 587.76

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Solution

The fourth proportional to 2,231.09, 3,346.35 and 587.76 is: 881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.09 : 3,346.35 = 587.76 : x
  2. Step 2: Convert to fraction form
    2,231.09/3,346.35 = 587.76/x
  3. Step 3: Cross multiply
    2,231.09x = 3,346.35 × 587.76
  4. Step 4: Simplify right side
    2,231.09x = 1,966,850.68
  5. Step 5: Solve for x
    x = 1,966,850.68/2,231.09
  6. Step 6: Final answer
    x = 881.57

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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.