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Finding the Fourth Proportional to 2,059.34, 3,090.02 and 963.77

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Solution

The fourth proportional to 2,059.34, 3,090.02 and 963.77 is: 1,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.34 : 3,090.02 = 963.77 : x
  2. Step 2: Convert to fraction form
    2,059.34/3,090.02 = 963.77/x
  3. Step 3: Cross multiply
    2,059.34x = 3,090.02 × 963.77
  4. Step 4: Simplify right side
    2,059.34x = 2,978,048.31
  5. Step 5: Solve for x
    x = 2,978,048.31/2,059.34
  6. Step 6: Final answer
    x = 1,446.12

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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.