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Finding the Fourth Proportional to 2,059.80, 3,090.18 and 963.57

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Solution

The fourth proportional to 2,059.80, 3,090.18 and 963.57 is: 1,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.80 : 3,090.18 = 963.57 : x
  2. Step 2: Convert to fraction form
    2,059.80/3,090.18 = 963.57/x
  3. Step 3: Cross multiply
    2,059.80x = 3,090.18 × 963.57
  4. Step 4: Simplify right side
    2,059.80x = 2,977,604.74
  5. Step 5: Solve for x
    x = 2,977,604.74/2,059.80
  6. Step 6: Final answer
    x = 1,445.58

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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.