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Finding the Fourth Proportional to 2,059.16, 3,089.73 and 963.59

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Solution

The fourth proportional to 2,059.16, 3,089.73 and 963.59 is: 1,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.16 : 3,089.73 = 963.59 : x
  2. Step 2: Convert to fraction form
    2,059.16/3,089.73 = 963.59/x
  3. Step 3: Cross multiply
    2,059.16x = 3,089.73 × 963.59
  4. Step 4: Simplify right side
    2,059.16x = 2,977,217.48
  5. Step 5: Solve for x
    x = 2,977,217.48/2,059.16
  6. Step 6: Final answer
    x = 1,445.84

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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.