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Finding the Fourth Proportional to 1,306.35, 1,947.56 and 1,190.93

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Solution

The fourth proportional to 1,306.35, 1,947.56 and 1,190.93 is: 1,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.35 : 1,947.56 = 1,190.93 : x
  2. Step 2: Convert to fraction form
    1,306.35/1,947.56 = 1,190.93/x
  3. Step 3: Cross multiply
    1,306.35x = 1,947.56 × 1,190.93
  4. Step 4: Simplify right side
    1,306.35x = 2,319,400.87
  5. Step 5: Solve for x
    x = 2,319,400.87/1,306.35
  6. Step 6: Final answer
    x = 1,775.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.