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Finding the Fourth Proportional to 2,856.72, 4,285.54 and 1,297.42

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Solution

The fourth proportional to 2,856.72, 4,285.54 and 1,297.42 is: 1,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.72 : 4,285.54 = 1,297.42 : x
  2. Step 2: Convert to fraction form
    2,856.72/4,285.54 = 1,297.42/x
  3. Step 3: Cross multiply
    2,856.72x = 4,285.54 × 1,297.42
  4. Step 4: Simplify right side
    2,856.72x = 5,560,145.31
  5. Step 5: Solve for x
    x = 5,560,145.31/2,856.72
  6. Step 6: Final answer
    x = 1,946.34

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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.