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Finding the Fourth Proportional to 2,657.30, 3,983.97 and 1,833.22

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Solution

The fourth proportional to 2,657.30, 3,983.97 and 1,833.22 is: 2,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.30 : 3,983.97 = 1,833.22 : x
  2. Step 2: Convert to fraction form
    2,657.30/3,983.97 = 1,833.22/x
  3. Step 3: Cross multiply
    2,657.30x = 3,983.97 × 1,833.22
  4. Step 4: Simplify right side
    2,657.30x = 7,303,484.32
  5. Step 5: Solve for x
    x = 7,303,484.32/2,657.30
  6. Step 6: Final answer
    x = 2,748.47

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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.