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Finding the Fourth Proportional to 2,103.24, 3,155.19 and 642.27

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Solution

The fourth proportional to 2,103.24, 3,155.19 and 642.27 is: 963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.24 : 3,155.19 = 642.27 : x
  2. Step 2: Convert to fraction form
    2,103.24/3,155.19 = 642.27/x
  3. Step 3: Cross multiply
    2,103.24x = 3,155.19 × 642.27
  4. Step 4: Simplify right side
    2,103.24x = 2,026,483.88
  5. Step 5: Solve for x
    x = 2,026,483.88/2,103.24
  6. Step 6: Final answer
    x = 963.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.