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Finding the Fourth Proportional to 1,412.28, 1,949.01 and 939.30

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Solution

The fourth proportional to 1,412.28, 1,949.01 and 939.30 is: 1,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.28 : 1,949.01 = 939.30 : x
  2. Step 2: Convert to fraction form
    1,412.28/1,949.01 = 939.30/x
  3. Step 3: Cross multiply
    1,412.28x = 1,949.01 × 939.30
  4. Step 4: Simplify right side
    1,412.28x = 1,830,705.09
  5. Step 5: Solve for x
    x = 1,830,705.09/1,412.28
  6. Step 6: Final answer
    x = 1,296.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.