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Finding the Fourth Proportional to 2,284.76, 3,427.11 and 641.30

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Solution

The fourth proportional to 2,284.76, 3,427.11 and 641.30 is: 961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.76 : 3,427.11 = 641.30 : x
  2. Step 2: Convert to fraction form
    2,284.76/3,427.11 = 641.30/x
  3. Step 3: Cross multiply
    2,284.76x = 3,427.11 × 641.30
  4. Step 4: Simplify right side
    2,284.76x = 2,197,788.51
  5. Step 5: Solve for x
    x = 2,197,788.51/2,284.76
  6. Step 6: Final answer
    x = 961.94

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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.