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Finding the Fourth Proportional to 2,069.92, 2,856 and 1,408.96

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Solution

The fourth proportional to 2,069.92, 2,856 and 1,408.96 is: 1,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.92 : 2,856 = 1,408.96 : x
  2. Step 2: Convert to fraction form
    2,069.92/2,856 = 1,408.96/x
  3. Step 3: Cross multiply
    2,069.92x = 2,856 × 1,408.96
  4. Step 4: Simplify right side
    2,069.92x = 4,023,989.76
  5. Step 5: Solve for x
    x = 4,023,989.76/2,069.92
  6. Step 6: Final answer
    x = 1,944.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.