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Finding the Fourth Proportional to 3,376.56, 5,065.32 and 1,644

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Solution

The fourth proportional to 3,376.56, 5,065.32 and 1,644 is: 2,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.56 : 5,065.32 = 1,644 : x
  2. Step 2: Convert to fraction form
    3,376.56/5,065.32 = 1,644/x
  3. Step 3: Cross multiply
    3,376.56x = 5,065.32 × 1,644
  4. Step 4: Simplify right side
    3,376.56x = 8,327,386.08
  5. Step 5: Solve for x
    x = 8,327,386.08/3,376.56
  6. Step 6: Final answer
    x = 2,466.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.