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Finding the Fourth Proportional to 2,909.56, 4,015.20 and 1,650.64

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Solution

The fourth proportional to 2,909.56, 4,015.20 and 1,650.64 is: 2,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.56 : 4,015.20 = 1,650.64 : x
  2. Step 2: Convert to fraction form
    2,909.56/4,015.20 = 1,650.64/x
  3. Step 3: Cross multiply
    2,909.56x = 4,015.20 × 1,650.64
  4. Step 4: Simplify right side
    2,909.56x = 6,627,649.73
  5. Step 5: Solve for x
    x = 6,627,649.73/2,909.56
  6. Step 6: Final answer
    x = 2,277.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.