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Finding the Fourth Proportional to 2,408.68, 3,326.34 and 2,057.32

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Solution

The fourth proportional to 2,408.68, 3,326.34 and 2,057.32 is: 2,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.68 : 3,326.34 = 2,057.32 : x
  2. Step 2: Convert to fraction form
    2,408.68/3,326.34 = 2,057.32/x
  3. Step 3: Cross multiply
    2,408.68x = 3,326.34 × 2,057.32
  4. Step 4: Simplify right side
    2,408.68x = 6,843,345.81
  5. Step 5: Solve for x
    x = 6,843,345.81/2,408.68
  6. Step 6: Final answer
    x = 2,841.12

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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.