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Finding the Fourth Proportional to 2,774.36, 3,828.46 and 1,656.56

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Solution

The fourth proportional to 2,774.36, 3,828.46 and 1,656.56 is: 2,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.36 : 3,828.46 = 1,656.56 : x
  2. Step 2: Convert to fraction form
    2,774.36/3,828.46 = 1,656.56/x
  3. Step 3: Cross multiply
    2,774.36x = 3,828.46 × 1,656.56
  4. Step 4: Simplify right side
    2,774.36x = 6,342,073.70
  5. Step 5: Solve for x
    x = 6,342,073.70/2,774.36
  6. Step 6: Final answer
    x = 2,285.96

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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.