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Finding the Fourth Proportional to 1,463.85, 2,019.02 and 939.60

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Solution

The fourth proportional to 1,463.85, 2,019.02 and 939.60 is: 1,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.85 : 2,019.02 = 939.60 : x
  2. Step 2: Convert to fraction form
    1,463.85/2,019.02 = 939.60/x
  3. Step 3: Cross multiply
    1,463.85x = 2,019.02 × 939.60
  4. Step 4: Simplify right side
    1,463.85x = 1,897,066.49
  5. Step 5: Solve for x
    x = 1,897,066.49/1,463.85
  6. Step 6: Final answer
    x = 1,295.94

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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.