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Finding the Fourth Proportional to 2,774.12, 3,827.05 and 1,828.69

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Solution

The fourth proportional to 2,774.12, 3,827.05 and 1,828.69 is: 2,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.12 : 3,827.05 = 1,828.69 : x
  2. Step 2: Convert to fraction form
    2,774.12/3,827.05 = 1,828.69/x
  3. Step 3: Cross multiply
    2,774.12x = 3,827.05 × 1,828.69
  4. Step 4: Simplify right side
    2,774.12x = 6,998,495.45
  5. Step 5: Solve for x
    x = 6,998,495.45/2,774.12
  6. Step 6: Final answer
    x = 2,522.78

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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.