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Finding the Fourth Proportional to 2,856.67, 4,284.65 and 1,623.97

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Solution

The fourth proportional to 2,856.67, 4,284.65 and 1,623.97 is: 2,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.67 : 4,284.65 = 1,623.97 : x
  2. Step 2: Convert to fraction form
    2,856.67/4,284.65 = 1,623.97/x
  3. Step 3: Cross multiply
    2,856.67x = 4,284.65 × 1,623.97
  4. Step 4: Simplify right side
    2,856.67x = 6,958,119.24
  5. Step 5: Solve for x
    x = 6,958,119.24/2,856.67
  6. Step 6: Final answer
    x = 2,435.75

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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.