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Finding the Fourth Proportional to 3,264, 4,892.76 and 1,803.84

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Solution

The fourth proportional to 3,264, 4,892.76 and 1,803.84 is: 2,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264 : 4,892.76 = 1,803.84 : x
  2. Step 2: Convert to fraction form
    3,264/4,892.76 = 1,803.84/x
  3. Step 3: Cross multiply
    3,264x = 4,892.76 × 1,803.84
  4. Step 4: Simplify right side
    3,264x = 8,825,756.20
  5. Step 5: Solve for x
    x = 8,825,756.20/3,264
  6. Step 6: Final answer
    x = 2,703.97

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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.