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Finding the Fourth Proportional to 3,097.36, 4,275.48 and 2,049.76

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Solution

The fourth proportional to 3,097.36, 4,275.48 and 2,049.76 is: 2,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.36 : 4,275.48 = 2,049.76 : x
  2. Step 2: Convert to fraction form
    3,097.36/4,275.48 = 2,049.76/x
  3. Step 3: Cross multiply
    3,097.36x = 4,275.48 × 2,049.76
  4. Step 4: Simplify right side
    3,097.36x = 8,763,707.88
  5. Step 5: Solve for x
    x = 8,763,707.88/3,097.36
  6. Step 6: Final answer
    x = 2,829.41

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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.