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Finding the Fourth Proportional to 4,511.07, 6,766.70 and 1,549.50

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Solution

The fourth proportional to 4,511.07, 6,766.70 and 1,549.50 is: 2,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.07 : 6,766.70 = 1,549.50 : x
  2. Step 2: Convert to fraction form
    4,511.07/6,766.70 = 1,549.50/x
  3. Step 3: Cross multiply
    4,511.07x = 6,766.70 × 1,549.50
  4. Step 4: Simplify right side
    4,511.07x = 10,484,993.90
  5. Step 5: Solve for x
    x = 10,484,993.90/4,511.07
  6. Step 6: Final answer
    x = 2,324.28

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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.