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Finding the Fourth Proportional to 3,276.78, 4,521.92 and 1,784.67

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Solution

The fourth proportional to 3,276.78, 4,521.92 and 1,784.67 is: 2,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.78 : 4,521.92 = 1,784.67 : x
  2. Step 2: Convert to fraction form
    3,276.78/4,521.92 = 1,784.67/x
  3. Step 3: Cross multiply
    3,276.78x = 4,521.92 × 1,784.67
  4. Step 4: Simplify right side
    3,276.78x = 8,070,132.62
  5. Step 5: Solve for x
    x = 8,070,132.62/3,276.78
  6. Step 6: Final answer
    x = 2,462.82

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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.