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Finding the Fourth Proportional to 3,264.40, 4,506.74 and 2,147.21

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Solution

The fourth proportional to 3,264.40, 4,506.74 and 2,147.21 is: 2,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.40 : 4,506.74 = 2,147.21 : x
  2. Step 2: Convert to fraction form
    3,264.40/4,506.74 = 2,147.21/x
  3. Step 3: Cross multiply
    3,264.40x = 4,506.74 × 2,147.21
  4. Step 4: Simplify right side
    3,264.40x = 9,676,908.88
  5. Step 5: Solve for x
    x = 9,676,908.88/3,264.40
  6. Step 6: Final answer
    x = 2,964.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.