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Finding the Fourth Proportional to 3,256.27, 4,493.61 and 1,764.15

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Solution

The fourth proportional to 3,256.27, 4,493.61 and 1,764.15 is: 2,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.27 : 4,493.61 = 1,764.15 : x
  2. Step 2: Convert to fraction form
    3,256.27/4,493.61 = 1,764.15/x
  3. Step 3: Cross multiply
    3,256.27x = 4,493.61 × 1,764.15
  4. Step 4: Simplify right side
    3,256.27x = 7,927,402.08
  5. Step 5: Solve for x
    x = 7,927,402.08/3,256.27
  6. Step 6: Final answer
    x = 2,434.50

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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.