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Finding the Fourth Proportional to 2,785.22, 3,843.54 and 1,526.21

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Solution

The fourth proportional to 2,785.22, 3,843.54 and 1,526.21 is: 2,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.22 : 3,843.54 = 1,526.21 : x
  2. Step 2: Convert to fraction form
    2,785.22/3,843.54 = 1,526.21/x
  3. Step 3: Cross multiply
    2,785.22x = 3,843.54 × 1,526.21
  4. Step 4: Simplify right side
    2,785.22x = 5,866,049.18
  5. Step 5: Solve for x
    x = 5,866,049.18/2,785.22
  6. Step 6: Final answer
    x = 2,106.13

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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.