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Finding the Fourth Proportional to 2,774.12, 3,828.58 and 1,655.34

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Solution

The fourth proportional to 2,774.12, 3,828.58 and 1,655.34 is: 2,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.12 : 3,828.58 = 1,655.34 : x
  2. Step 2: Convert to fraction form
    2,774.12/3,828.58 = 1,655.34/x
  3. Step 3: Cross multiply
    2,774.12x = 3,828.58 × 1,655.34
  4. Step 4: Simplify right side
    2,774.12x = 6,337,601.62
  5. Step 5: Solve for x
    x = 6,337,601.62/2,774.12
  6. Step 6: Final answer
    x = 2,284.54

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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.