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Finding the Fourth Proportional to 3,307.30, 4,959.72 and 1,226.80

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Solution

The fourth proportional to 3,307.30, 4,959.72 and 1,226.80 is: 1,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.30 : 4,959.72 = 1,226.80 : x
  2. Step 2: Convert to fraction form
    3,307.30/4,959.72 = 1,226.80/x
  3. Step 3: Cross multiply
    3,307.30x = 4,959.72 × 1,226.80
  4. Step 4: Simplify right side
    3,307.30x = 6,084,584.50
  5. Step 5: Solve for x
    x = 6,084,584.50/3,307.30
  6. Step 6: Final answer
    x = 1,839.74

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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.