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Finding the Fourth Proportional to 3,297.75, 4,946.63 and 832.57

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Solution

The fourth proportional to 3,297.75, 4,946.63 and 832.57 is: 1,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.75 : 4,946.63 = 832.57 : x
  2. Step 2: Convert to fraction form
    3,297.75/4,946.63 = 832.57/x
  3. Step 3: Cross multiply
    3,297.75x = 4,946.63 × 832.57
  4. Step 4: Simplify right side
    3,297.75x = 4,118,415.74
  5. Step 5: Solve for x
    x = 4,118,415.74/3,297.75
  6. Step 6: Final answer
    x = 1,248.86

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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.