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Finding the Fourth Proportional to 1,602.99, 2,212.14 and 939.85

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Solution

The fourth proportional to 1,602.99, 2,212.14 and 939.85 is: 1,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.99 : 2,212.14 = 939.85 : x
  2. Step 2: Convert to fraction form
    1,602.99/2,212.14 = 939.85/x
  3. Step 3: Cross multiply
    1,602.99x = 2,212.14 × 939.85
  4. Step 4: Simplify right side
    1,602.99x = 2,079,082.29
  5. Step 5: Solve for x
    x = 2,079,082.29/1,602.99
  6. Step 6: Final answer
    x = 1,297.00

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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.