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Finding the Fourth Proportional to 2,061.19, 3,090.32 and 964.96

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Solution

The fourth proportional to 2,061.19, 3,090.32 and 964.96 is: 1,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.19 : 3,090.32 = 964.96 : x
  2. Step 2: Convert to fraction form
    2,061.19/3,090.32 = 964.96/x
  3. Step 3: Cross multiply
    2,061.19x = 3,090.32 × 964.96
  4. Step 4: Simplify right side
    2,061.19x = 2,982,035.19
  5. Step 5: Solve for x
    x = 2,982,035.19/2,061.19
  6. Step 6: Final answer
    x = 1,446.75

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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.