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Finding the Fourth Proportional to 2,778.35, 3,834.19 and 1,660.45

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Solution

The fourth proportional to 2,778.35, 3,834.19 and 1,660.45 is: 2,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.35 : 3,834.19 = 1,660.45 : x
  2. Step 2: Convert to fraction form
    2,778.35/3,834.19 = 1,660.45/x
  3. Step 3: Cross multiply
    2,778.35x = 3,834.19 × 1,660.45
  4. Step 4: Simplify right side
    2,778.35x = 6,366,471.12
  5. Step 5: Solve for x
    x = 6,366,471.12/2,778.35
  6. Step 6: Final answer
    x = 2,291.46

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