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Finding the Fourth Proportional to 2,785.44, 4,178.23 and 936.58

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Solution

The fourth proportional to 2,785.44, 4,178.23 and 936.58 is: 1,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.44 : 4,178.23 = 936.58 : x
  2. Step 2: Convert to fraction form
    2,785.44/4,178.23 = 936.58/x
  3. Step 3: Cross multiply
    2,785.44x = 4,178.23 × 936.58
  4. Step 4: Simplify right side
    2,785.44x = 3,913,246.65
  5. Step 5: Solve for x
    x = 3,913,246.65/2,785.44
  6. Step 6: Final answer
    x = 1,404.89

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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.