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Finding the Fourth Proportional to 1,958.01, 2,702.07 and 1,073.76

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Solution

The fourth proportional to 1,958.01, 2,702.07 and 1,073.76 is: 1,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.01 : 2,702.07 = 1,073.76 : x
  2. Step 2: Convert to fraction form
    1,958.01/2,702.07 = 1,073.76/x
  3. Step 3: Cross multiply
    1,958.01x = 2,702.07 × 1,073.76
  4. Step 4: Simplify right side
    1,958.01x = 2,901,374.68
  5. Step 5: Solve for x
    x = 2,901,374.68/1,958.01
  6. Step 6: Final answer
    x = 1,481.80

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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.