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Finding the Fourth Proportional to 3,046.55, 4,571.21 and 1,657.80

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Solution

The fourth proportional to 3,046.55, 4,571.21 and 1,657.80 is: 2,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.55 : 4,571.21 = 1,657.80 : x
  2. Step 2: Convert to fraction form
    3,046.55/4,571.21 = 1,657.80/x
  3. Step 3: Cross multiply
    3,046.55x = 4,571.21 × 1,657.80
  4. Step 4: Simplify right side
    3,046.55x = 7,578,151.94
  5. Step 5: Solve for x
    x = 7,578,151.94/3,046.55
  6. Step 6: Final answer
    x = 2,487.45

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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.