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Finding the Fourth Proportional to 4,766.74, 7,150.46 and 1,480.06

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Solution

The fourth proportional to 4,766.74, 7,150.46 and 1,480.06 is: 2,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.74 : 7,150.46 = 1,480.06 : x
  2. Step 2: Convert to fraction form
    4,766.74/7,150.46 = 1,480.06/x
  3. Step 3: Cross multiply
    4,766.74x = 7,150.46 × 1,480.06
  4. Step 4: Simplify right side
    4,766.74x = 10,583,109.83
  5. Step 5: Solve for x
    x = 10,583,109.83/4,766.74
  6. Step 6: Final answer
    x = 2,220.20

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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.