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Finding the Fourth Proportional to 1,602.96, 2,211.62 and 939.84

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Solution

The fourth proportional to 1,602.96, 2,211.62 and 939.84 is: 1,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.96 : 2,211.62 = 939.84 : x
  2. Step 2: Convert to fraction form
    1,602.96/2,211.62 = 939.84/x
  3. Step 3: Cross multiply
    1,602.96x = 2,211.62 × 939.84
  4. Step 4: Simplify right side
    1,602.96x = 2,078,564.24
  5. Step 5: Solve for x
    x = 2,078,564.24/1,602.96
  6. Step 6: Final answer
    x = 1,296.70

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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.