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Finding the Fourth Proportional to 2,880.76, 3,965.10 and 2,550.52

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Solution

The fourth proportional to 2,880.76, 3,965.10 and 2,550.52 is: 3,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.76 : 3,965.10 = 2,550.52 : x
  2. Step 2: Convert to fraction form
    2,880.76/3,965.10 = 2,550.52/x
  3. Step 3: Cross multiply
    2,880.76x = 3,965.10 × 2,550.52
  4. Step 4: Simplify right side
    2,880.76x = 10,113,066.85
  5. Step 5: Solve for x
    x = 10,113,066.85/2,880.76
  6. Step 6: Final answer
    x = 3,510.56

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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.