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Finding the Fourth Proportional to 3,300.76, 4,951.31 and 835.60

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Solution

The fourth proportional to 3,300.76, 4,951.31 and 835.60 is: 1,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.76 : 4,951.31 = 835.60 : x
  2. Step 2: Convert to fraction form
    3,300.76/4,951.31 = 835.60/x
  3. Step 3: Cross multiply
    3,300.76x = 4,951.31 × 835.60
  4. Step 4: Simplify right side
    3,300.76x = 4,137,304.35
  5. Step 5: Solve for x
    x = 4,137,304.35/3,300.76
  6. Step 6: Final answer
    x = 1,253.44

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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.