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Finding the Fourth Proportional to 3,257.35, 4,494.36 and 1,931.38

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Solution

The fourth proportional to 3,257.35, 4,494.36 and 1,931.38 is: 2,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.35 : 4,494.36 = 1,931.38 : x
  2. Step 2: Convert to fraction form
    3,257.35/4,494.36 = 1,931.38/x
  3. Step 3: Cross multiply
    3,257.35x = 4,494.36 × 1,931.38
  4. Step 4: Simplify right side
    3,257.35x = 8,680,317.02
  5. Step 5: Solve for x
    x = 8,680,317.02/3,257.35
  6. Step 6: Final answer
    x = 2,664.84

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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.