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Finding the Fourth Proportional to 2,561.64, 3,843.45 and 1,836.96

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Solution

The fourth proportional to 2,561.64, 3,843.45 and 1,836.96 is: 2,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.64 : 3,843.45 = 1,836.96 : x
  2. Step 2: Convert to fraction form
    2,561.64/3,843.45 = 1,836.96/x
  3. Step 3: Cross multiply
    2,561.64x = 3,843.45 × 1,836.96
  4. Step 4: Simplify right side
    2,561.64x = 7,060,263.91
  5. Step 5: Solve for x
    x = 7,060,263.91/2,561.64
  6. Step 6: Final answer
    x = 2,756.15

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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.