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Finding the Fourth Proportional to 2,933.90, 4,401.32 and 985.66

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Solution

The fourth proportional to 2,933.90, 4,401.32 and 985.66 is: 1,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.90 : 4,401.32 = 985.66 : x
  2. Step 2: Convert to fraction form
    2,933.90/4,401.32 = 985.66/x
  3. Step 3: Cross multiply
    2,933.90x = 4,401.32 × 985.66
  4. Step 4: Simplify right side
    2,933.90x = 4,338,205.07
  5. Step 5: Solve for x
    x = 4,338,205.07/2,933.90
  6. Step 6: Final answer
    x = 1,478.65

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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.