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Finding the Fourth Proportional to 2,103.48, 2,902.82 and 1,171.98

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Solution

The fourth proportional to 2,103.48, 2,902.82 and 1,171.98 is: 1,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.48 : 2,902.82 = 1,171.98 : x
  2. Step 2: Convert to fraction form
    2,103.48/2,902.82 = 1,171.98/x
  3. Step 3: Cross multiply
    2,103.48x = 2,902.82 × 1,171.98
  4. Step 4: Simplify right side
    2,103.48x = 3,402,046.98
  5. Step 5: Solve for x
    x = 3,402,046.98/2,103.48
  6. Step 6: Final answer
    x = 1,617.34

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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.