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Finding the Fourth Proportional to 1,602.56, 2,211.09 and 939.17

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Solution

The fourth proportional to 1,602.56, 2,211.09 and 939.17 is: 1,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.56 : 2,211.09 = 939.17 : x
  2. Step 2: Convert to fraction form
    1,602.56/2,211.09 = 939.17/x
  3. Step 3: Cross multiply
    1,602.56x = 2,211.09 × 939.17
  4. Step 4: Simplify right side
    1,602.56x = 2,076,589.40
  5. Step 5: Solve for x
    x = 2,076,589.40/1,602.56
  6. Step 6: Final answer
    x = 1,295.80

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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.