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Finding the Fourth Proportional to 2,191.84, 3,285.48 and 959.02

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Solution

The fourth proportional to 2,191.84, 3,285.48 and 959.02 is: 1,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.84 : 3,285.48 = 959.02 : x
  2. Step 2: Convert to fraction form
    2,191.84/3,285.48 = 959.02/x
  3. Step 3: Cross multiply
    2,191.84x = 3,285.48 × 959.02
  4. Step 4: Simplify right side
    2,191.84x = 3,150,841.03
  5. Step 5: Solve for x
    x = 3,150,841.03/2,191.84
  6. Step 6: Final answer
    x = 1,437.53

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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.