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Finding the Fourth Proportional to 1,932.81, 2,667.38 and 1,146.84

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Solution

The fourth proportional to 1,932.81, 2,667.38 and 1,146.84 is: 1,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.81 : 2,667.38 = 1,146.84 : x
  2. Step 2: Convert to fraction form
    1,932.81/2,667.38 = 1,146.84/x
  3. Step 3: Cross multiply
    1,932.81x = 2,667.38 × 1,146.84
  4. Step 4: Simplify right side
    1,932.81x = 3,059,052.35
  5. Step 5: Solve for x
    x = 3,059,052.35/1,932.81
  6. Step 6: Final answer
    x = 1,582.70

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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.