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Finding the Fourth Proportional to 2,596.41, 3,901.10 and 2,052.09

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Solution

The fourth proportional to 2,596.41, 3,901.10 and 2,052.09 is: 3,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.41 : 3,901.10 = 2,052.09 : x
  2. Step 2: Convert to fraction form
    2,596.41/3,901.10 = 2,052.09/x
  3. Step 3: Cross multiply
    2,596.41x = 3,901.10 × 2,052.09
  4. Step 4: Simplify right side
    2,596.41x = 8,005,398.04
  5. Step 5: Solve for x
    x = 8,005,398.04/2,596.41
  6. Step 6: Final answer
    x = 3,083.26

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1.5x scale

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.