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Finding the Fourth Proportional to 2,107.52, 2,908.50 and 1,223.39

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Solution

The fourth proportional to 2,107.52, 2,908.50 and 1,223.39 is: 1,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.52 : 2,908.50 = 1,223.39 : x
  2. Step 2: Convert to fraction form
    2,107.52/2,908.50 = 1,223.39/x
  3. Step 3: Cross multiply
    2,107.52x = 2,908.50 × 1,223.39
  4. Step 4: Simplify right side
    2,107.52x = 3,558,229.82
  5. Step 5: Solve for x
    x = 3,558,229.82/2,107.52
  6. Step 6: Final answer
    x = 1,688.35

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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.