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Finding the Fourth Proportional to 2,231.01, 3,346.56 and 587.58

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Solution

The fourth proportional to 2,231.01, 3,346.56 and 587.58 is: 881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.01 : 3,346.56 = 587.58 : x
  2. Step 2: Convert to fraction form
    2,231.01/3,346.56 = 587.58/x
  3. Step 3: Cross multiply
    2,231.01x = 3,346.56 × 587.58
  4. Step 4: Simplify right side
    2,231.01x = 1,966,371.72
  5. Step 5: Solve for x
    x = 1,966,371.72/2,231.01
  6. Step 6: Final answer
    x = 881.38

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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.