Home / 1,743.62-2,406.20-946.96

Finding the Fourth Proportional to 1,743.62, 2,406.20 and 946.96

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Solution

The fourth proportional to 1,743.62, 2,406.20 and 946.96 is: 1,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.62 : 2,406.20 = 946.96 : x
  2. Step 2: Convert to fraction form
    1,743.62/2,406.20 = 946.96/x
  3. Step 3: Cross multiply
    1,743.62x = 2,406.20 × 946.96
  4. Step 4: Simplify right side
    1,743.62x = 2,278,564.40
  5. Step 5: Solve for x
    x = 2,278,564.40/1,743.62
  6. Step 6: Final answer
    x = 1,306.80

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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.