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Finding the Fourth Proportional to 2,784.92, 3,843.18 and 1,526.04

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Solution

The fourth proportional to 2,784.92, 3,843.18 and 1,526.04 is: 2,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.92 : 3,843.18 = 1,526.04 : x
  2. Step 2: Convert to fraction form
    2,784.92/3,843.18 = 1,526.04/x
  3. Step 3: Cross multiply
    2,784.92x = 3,843.18 × 1,526.04
  4. Step 4: Simplify right side
    2,784.92x = 5,864,846.41
  5. Step 5: Solve for x
    x = 5,864,846.41/2,784.92
  6. Step 6: Final answer
    x = 2,105.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.