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Finding the Fourth Proportional to 3,307.55, 4,961.46 and 842.43

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Solution

The fourth proportional to 3,307.55, 4,961.46 and 842.43 is: 1,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.55 : 4,961.46 = 842.43 : x
  2. Step 2: Convert to fraction form
    3,307.55/4,961.46 = 842.43/x
  3. Step 3: Cross multiply
    3,307.55x = 4,961.46 × 842.43
  4. Step 4: Simplify right side
    3,307.55x = 4,179,682.75
  5. Step 5: Solve for x
    x = 4,179,682.75/3,307.55
  6. Step 6: Final answer
    x = 1,263.68

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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.