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Finding the Fourth Proportional to 1,580.41, 2,367.78 and 963.79

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Solution

The fourth proportional to 1,580.41, 2,367.78 and 963.79 is: 1,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.41 : 2,367.78 = 963.79 : x
  2. Step 2: Convert to fraction form
    1,580.41/2,367.78 = 963.79/x
  3. Step 3: Cross multiply
    1,580.41x = 2,367.78 × 963.79
  4. Step 4: Simplify right side
    1,580.41x = 2,282,042.69
  5. Step 5: Solve for x
    x = 2,282,042.69/1,580.41
  6. Step 6: Final answer
    x = 1,443.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.