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Finding the Fourth Proportional to 2,785.98, 4,177.34 and 936.74

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Solution

The fourth proportional to 2,785.98, 4,177.34 and 936.74 is: 1,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.98 : 4,177.34 = 936.74 : x
  2. Step 2: Convert to fraction form
    2,785.98/4,177.34 = 936.74/x
  3. Step 3: Cross multiply
    2,785.98x = 4,177.34 × 936.74
  4. Step 4: Simplify right side
    2,785.98x = 3,913,081.47
  5. Step 5: Solve for x
    x = 3,913,081.47/2,785.98
  6. Step 6: Final answer
    x = 1,404.56

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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.