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Finding the Fourth Proportional to 2,059.14, 3,088.71 and 964.27

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Solution

The fourth proportional to 2,059.14, 3,088.71 and 964.27 is: 1,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.14 : 3,088.71 = 964.27 : x
  2. Step 2: Convert to fraction form
    2,059.14/3,088.71 = 964.27/x
  3. Step 3: Cross multiply
    2,059.14x = 3,088.71 × 964.27
  4. Step 4: Simplify right side
    2,059.14x = 2,978,344.12
  5. Step 5: Solve for x
    x = 2,978,344.12/2,059.14
  6. Step 6: Final answer
    x = 1,446.41

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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.