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Finding the Fourth Proportional to 1,602.65, 2,211.41 and 939.71

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Solution

The fourth proportional to 1,602.65, 2,211.41 and 939.71 is: 1,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.65 : 2,211.41 = 939.71 : x
  2. Step 2: Convert to fraction form
    1,602.65/2,211.41 = 939.71/x
  3. Step 3: Cross multiply
    1,602.65x = 2,211.41 × 939.71
  4. Step 4: Simplify right side
    1,602.65x = 2,078,091.97
  5. Step 5: Solve for x
    x = 2,078,091.97/1,602.65
  6. Step 6: Final answer
    x = 1,296.66

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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.