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Finding the Fourth Proportional to 2,059.48, 3,089.72 and 963.33

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Solution

The fourth proportional to 2,059.48, 3,089.72 and 963.33 is: 1,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.48 : 3,089.72 = 963.33 : x
  2. Step 2: Convert to fraction form
    2,059.48/3,089.72 = 963.33/x
  3. Step 3: Cross multiply
    2,059.48x = 3,089.72 × 963.33
  4. Step 4: Simplify right side
    2,059.48x = 2,976,419.97
  5. Step 5: Solve for x
    x = 2,976,419.97/2,059.48
  6. Step 6: Final answer
    x = 1,445.23

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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.