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Finding the Fourth Proportional to 3,182.92, 4,777.98 and 2,254.60

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Solution

The fourth proportional to 3,182.92, 4,777.98 and 2,254.60 is: 3,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.92 : 4,777.98 = 2,254.60 : x
  2. Step 2: Convert to fraction form
    3,182.92/4,777.98 = 2,254.60/x
  3. Step 3: Cross multiply
    3,182.92x = 4,777.98 × 2,254.60
  4. Step 4: Simplify right side
    3,182.92x = 10,772,433.71
  5. Step 5: Solve for x
    x = 10,772,433.71/3,182.92
  6. Step 6: Final answer
    x = 3,384.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.