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Finding the Fourth Proportional to 2,751.14, 3,794.91 and 2,419.58

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Solution

The fourth proportional to 2,751.14, 3,794.91 and 2,419.58 is: 3,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.14 : 3,794.91 = 2,419.58 : x
  2. Step 2: Convert to fraction form
    2,751.14/3,794.91 = 2,419.58/x
  3. Step 3: Cross multiply
    2,751.14x = 3,794.91 × 2,419.58
  4. Step 4: Simplify right side
    2,751.14x = 9,182,088.34
  5. Step 5: Solve for x
    x = 9,182,088.34/2,751.14
  6. Step 6: Final answer
    x = 3,337.56

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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.