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Finding the Fourth Proportional to 2,087.62, 2,880 and 1,203.22

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Solution

The fourth proportional to 2,087.62, 2,880 and 1,203.22 is: 1,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.62 : 2,880 = 1,203.22 : x
  2. Step 2: Convert to fraction form
    2,087.62/2,880 = 1,203.22/x
  3. Step 3: Cross multiply
    2,087.62x = 2,880 × 1,203.22
  4. Step 4: Simplify right side
    2,087.62x = 3,465,273.60
  5. Step 5: Solve for x
    x = 3,465,273.60/2,087.62
  6. Step 6: Final answer
    x = 1,659.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.