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Finding the Fourth Proportional to 2,087.76, 2,880.60 and 1,203.42

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Solution

The fourth proportional to 2,087.76, 2,880.60 and 1,203.42 is: 1,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.76 : 2,880.60 = 1,203.42 : x
  2. Step 2: Convert to fraction form
    2,087.76/2,880.60 = 1,203.42/x
  3. Step 3: Cross multiply
    2,087.76x = 2,880.60 × 1,203.42
  4. Step 4: Simplify right side
    2,087.76x = 3,466,571.65
  5. Step 5: Solve for x
    x = 3,466,571.65/2,087.76
  6. Step 6: Final answer
    x = 1,660.43

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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.