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Finding the Fourth Proportional to 1,602.77, 2,212.02 and 939.62

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Solution

The fourth proportional to 1,602.77, 2,212.02 and 939.62 is: 1,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.77 : 2,212.02 = 939.62 : x
  2. Step 2: Convert to fraction form
    1,602.77/2,212.02 = 939.62/x
  3. Step 3: Cross multiply
    1,602.77x = 2,212.02 × 939.62
  4. Step 4: Simplify right side
    1,602.77x = 2,078,447.17
  5. Step 5: Solve for x
    x = 2,078,447.17/1,602.77
  6. Step 6: Final answer
    x = 1,296.79

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1.5x scale

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.