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Finding the Fourth Proportional to 1,630.29, 2,241.60 and 1,619.76

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Solution

The fourth proportional to 1,630.29, 2,241.60 and 1,619.76 is: 2,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.29 : 2,241.60 = 1,619.76 : x
  2. Step 2: Convert to fraction form
    1,630.29/2,241.60 = 1,619.76/x
  3. Step 3: Cross multiply
    1,630.29x = 2,241.60 × 1,619.76
  4. Step 4: Simplify right side
    1,630.29x = 3,630,854.02
  5. Step 5: Solve for x
    x = 3,630,854.02/1,630.29
  6. Step 6: Final answer
    x = 2,227.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.