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Finding the Fourth Proportional to 1,960.10, 2,938.33 and 660.66

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Solution

The fourth proportional to 1,960.10, 2,938.33 and 660.66 is: 990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.10 : 2,938.33 = 660.66 : x
  2. Step 2: Convert to fraction form
    1,960.10/2,938.33 = 660.66/x
  3. Step 3: Cross multiply
    1,960.10x = 2,938.33 × 660.66
  4. Step 4: Simplify right side
    1,960.10x = 1,941,223.19
  5. Step 5: Solve for x
    x = 1,941,223.19/1,960.10
  6. Step 6: Final answer
    x = 990.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.