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Finding the Fourth Proportional to 2,102.36, 3,153.68 and 642.54

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Solution

The fourth proportional to 2,102.36, 3,153.68 and 642.54 is: 963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.36 : 3,153.68 = 642.54 : x
  2. Step 2: Convert to fraction form
    2,102.36/3,153.68 = 642.54/x
  3. Step 3: Cross multiply
    2,102.36x = 3,153.68 × 642.54
  4. Step 4: Simplify right side
    2,102.36x = 2,026,365.55
  5. Step 5: Solve for x
    x = 2,026,365.55/2,102.36
  6. Step 6: Final answer
    x = 963.85

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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.