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Finding the Fourth Proportional to 2,606.61, 3,911.46 and 964.31

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Solution

The fourth proportional to 2,606.61, 3,911.46 and 964.31 is: 1,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.61 : 3,911.46 = 964.31 : x
  2. Step 2: Convert to fraction form
    2,606.61/3,911.46 = 964.31/x
  3. Step 3: Cross multiply
    2,606.61x = 3,911.46 × 964.31
  4. Step 4: Simplify right side
    2,606.61x = 3,771,844.96
  5. Step 5: Solve for x
    x = 3,771,844.96/2,606.61
  6. Step 6: Final answer
    x = 1,447.03

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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.