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Finding the Fourth Proportional to 2,785.47, 3,843.90 and 1,526.55

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Solution

The fourth proportional to 2,785.47, 3,843.90 and 1,526.55 is: 2,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.47 : 3,843.90 = 1,526.55 : x
  2. Step 2: Convert to fraction form
    2,785.47/3,843.90 = 1,526.55/x
  3. Step 3: Cross multiply
    2,785.47x = 3,843.90 × 1,526.55
  4. Step 4: Simplify right side
    2,785.47x = 5,867,905.55
  5. Step 5: Solve for x
    x = 5,867,905.55/2,785.47
  6. Step 6: Final answer
    x = 2,106.61

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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.