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Finding the Fourth Proportional to 1,960.95, 2,938.98 and 987.33

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Solution

The fourth proportional to 1,960.95, 2,938.98 and 987.33 is: 1,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.95 : 2,938.98 = 987.33 : x
  2. Step 2: Convert to fraction form
    1,960.95/2,938.98 = 987.33/x
  3. Step 3: Cross multiply
    1,960.95x = 2,938.98 × 987.33
  4. Step 4: Simplify right side
    1,960.95x = 2,901,757.85
  5. Step 5: Solve for x
    x = 2,901,757.85/1,960.95
  6. Step 6: Final answer
    x = 1,479.77

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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.