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Finding the Fourth Proportional to 2,943.88, 4,416.20 and 969.84

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Solution

The fourth proportional to 2,943.88, 4,416.20 and 969.84 is: 1,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.88 : 4,416.20 = 969.84 : x
  2. Step 2: Convert to fraction form
    2,943.88/4,416.20 = 969.84/x
  3. Step 3: Cross multiply
    2,943.88x = 4,416.20 × 969.84
  4. Step 4: Simplify right side
    2,943.88x = 4,283,007.41
  5. Step 5: Solve for x
    x = 4,283,007.41/2,943.88
  6. Step 6: Final answer
    x = 1,454.89

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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.