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Finding the Fourth Proportional to 3,321.69, 4,976.46 and 1,568.15

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Solution

The fourth proportional to 3,321.69, 4,976.46 and 1,568.15 is: 2,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.69 : 4,976.46 = 1,568.15 : x
  2. Step 2: Convert to fraction form
    3,321.69/4,976.46 = 1,568.15/x
  3. Step 3: Cross multiply
    3,321.69x = 4,976.46 × 1,568.15
  4. Step 4: Simplify right side
    3,321.69x = 7,803,814.79
  5. Step 5: Solve for x
    x = 7,803,814.79/3,321.69
  6. Step 6: Final answer
    x = 2,349.35

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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.