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Finding the Fourth Proportional to 2,134.51, 3,201.62 and 964.60

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Solution

The fourth proportional to 2,134.51, 3,201.62 and 964.60 is: 1,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.51 : 3,201.62 = 964.60 : x
  2. Step 2: Convert to fraction form
    2,134.51/3,201.62 = 964.60/x
  3. Step 3: Cross multiply
    2,134.51x = 3,201.62 × 964.60
  4. Step 4: Simplify right side
    2,134.51x = 3,088,269.82
  5. Step 5: Solve for x
    x = 3,088,269.82/2,134.51
  6. Step 6: Final answer
    x = 1,446.83

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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.