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Finding the Fourth Proportional to 2,856.78, 4,284.66 and 1,539.92

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Solution

The fourth proportional to 2,856.78, 4,284.66 and 1,539.92 is: 2,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.78 : 4,284.66 = 1,539.92 : x
  2. Step 2: Convert to fraction form
    2,856.78/4,284.66 = 1,539.92/x
  3. Step 3: Cross multiply
    2,856.78x = 4,284.66 × 1,539.92
  4. Step 4: Simplify right side
    2,856.78x = 6,598,033.63
  5. Step 5: Solve for x
    x = 6,598,033.63/2,856.78
  6. Step 6: Final answer
    x = 2,309.61

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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.