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Finding the Fourth Proportional to 2,774.48, 3,819.36 and 2,109.68

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Solution

The fourth proportional to 2,774.48, 3,819.36 and 2,109.68 is: 2,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.48 : 3,819.36 = 2,109.68 : x
  2. Step 2: Convert to fraction form
    2,774.48/3,819.36 = 2,109.68/x
  3. Step 3: Cross multiply
    2,774.48x = 3,819.36 × 2,109.68
  4. Step 4: Simplify right side
    2,774.48x = 8,057,627.40
  5. Step 5: Solve for x
    x = 8,057,627.40/2,774.48
  6. Step 6: Final answer
    x = 2,904.19

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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.