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Finding the Fourth Proportional to 3,256, 4,493.52 and 2,014.72

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Solution

The fourth proportional to 3,256, 4,493.52 and 2,014.72 is: 2,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256 : 4,493.52 = 2,014.72 : x
  2. Step 2: Convert to fraction form
    3,256/4,493.52 = 2,014.72/x
  3. Step 3: Cross multiply
    3,256x = 4,493.52 × 2,014.72
  4. Step 4: Simplify right side
    3,256x = 9,053,184.61
  5. Step 5: Solve for x
    x = 9,053,184.61/3,256
  6. Step 6: Final answer
    x = 2,780.46

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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.