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Finding the Fourth Proportional to 1,602.34, 2,211.24 and 939.22

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Solution

The fourth proportional to 1,602.34, 2,211.24 and 939.22 is: 1,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.34 : 2,211.24 = 939.22 : x
  2. Step 2: Convert to fraction form
    1,602.34/2,211.24 = 939.22/x
  3. Step 3: Cross multiply
    1,602.34x = 2,211.24 × 939.22
  4. Step 4: Simplify right side
    1,602.34x = 2,076,840.83
  5. Step 5: Solve for x
    x = 2,076,840.83/1,602.34
  6. Step 6: Final answer
    x = 1,296.13

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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.