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Finding the Fourth Proportional to 2,997.81, 4,498.47 and 1,684.53

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Solution

The fourth proportional to 2,997.81, 4,498.47 and 1,684.53 is: 2,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.81 : 4,498.47 = 1,684.53 : x
  2. Step 2: Convert to fraction form
    2,997.81/4,498.47 = 1,684.53/x
  3. Step 3: Cross multiply
    2,997.81x = 4,498.47 × 1,684.53
  4. Step 4: Simplify right side
    2,997.81x = 7,577,807.67
  5. Step 5: Solve for x
    x = 7,577,807.67/2,997.81
  6. Step 6: Final answer
    x = 2,527.78

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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.