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Finding the Fourth Proportional to 2,685.01, 4,024.06 and 2,165.26

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Solution

The fourth proportional to 2,685.01, 4,024.06 and 2,165.26 is: 3,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.01 : 4,024.06 = 2,165.26 : x
  2. Step 2: Convert to fraction form
    2,685.01/4,024.06 = 2,165.26/x
  3. Step 3: Cross multiply
    2,685.01x = 4,024.06 × 2,165.26
  4. Step 4: Simplify right side
    2,685.01x = 8,713,136.16
  5. Step 5: Solve for x
    x = 8,713,136.16/2,685.01
  6. Step 6: Final answer
    x = 3,245.10

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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.