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Finding the Fourth Proportional to 2,785.58, 4,178.22 and 936.71

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Solution

The fourth proportional to 2,785.58, 4,178.22 and 936.71 is: 1,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.58 : 4,178.22 = 936.71 : x
  2. Step 2: Convert to fraction form
    2,785.58/4,178.22 = 936.71/x
  3. Step 3: Cross multiply
    2,785.58x = 4,178.22 × 936.71
  4. Step 4: Simplify right side
    2,785.58x = 3,913,759.57
  5. Step 5: Solve for x
    x = 3,913,759.57/2,785.58
  6. Step 6: Final answer
    x = 1,405.01

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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.