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Finding the Fourth Proportional to 2,122.94, 3,184.43 and 662.10

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Solution

The fourth proportional to 2,122.94, 3,184.43 and 662.10 is: 993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.94 : 3,184.43 = 662.10 : x
  2. Step 2: Convert to fraction form
    2,122.94/3,184.43 = 662.10/x
  3. Step 3: Cross multiply
    2,122.94x = 3,184.43 × 662.10
  4. Step 4: Simplify right side
    2,122.94x = 2,108,407.79
  5. Step 5: Solve for x
    x = 2,108,407.79/2,122.94
  6. Step 6: Final answer
    x = 993.16

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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.