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Finding the Fourth Proportional to 3,204.74, 4,806.84 and 1,014.50

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Solution

The fourth proportional to 3,204.74, 4,806.84 and 1,014.50 is: 1,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.74 : 4,806.84 = 1,014.50 : x
  2. Step 2: Convert to fraction form
    3,204.74/4,806.84 = 1,014.50/x
  3. Step 3: Cross multiply
    3,204.74x = 4,806.84 × 1,014.50
  4. Step 4: Simplify right side
    3,204.74x = 4,876,539.18
  5. Step 5: Solve for x
    x = 4,876,539.18/3,204.74
  6. Step 6: Final answer
    x = 1,521.66

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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.