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Finding the Fourth Proportional to 2,951.71, 4,429.01 and 1,856.59

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Solution

The fourth proportional to 2,951.71, 4,429.01 and 1,856.59 is: 2,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.71 : 4,429.01 = 1,856.59 : x
  2. Step 2: Convert to fraction form
    2,951.71/4,429.01 = 1,856.59/x
  3. Step 3: Cross multiply
    2,951.71x = 4,429.01 × 1,856.59
  4. Step 4: Simplify right side
    2,951.71x = 8,222,855.68
  5. Step 5: Solve for x
    x = 8,222,855.68/2,951.71
  6. Step 6: Final answer
    x = 2,785.79

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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.