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Finding the Fourth Proportional to 2,856.87, 4,292.49 and 1,817.34

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Solution

The fourth proportional to 2,856.87, 4,292.49 and 1,817.34 is: 2,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.87 : 4,292.49 = 1,817.34 : x
  2. Step 2: Convert to fraction form
    2,856.87/4,292.49 = 1,817.34/x
  3. Step 3: Cross multiply
    2,856.87x = 4,292.49 × 1,817.34
  4. Step 4: Simplify right side
    2,856.87x = 7,800,904.49
  5. Step 5: Solve for x
    x = 7,800,904.49/2,856.87
  6. Step 6: Final answer
    x = 2,730.58

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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.