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Finding the Fourth Proportional to 4,661.91, 6,993.06 and 1,499.67

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Solution

The fourth proportional to 4,661.91, 6,993.06 and 1,499.67 is: 2,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.91 : 6,993.06 = 1,499.67 : x
  2. Step 2: Convert to fraction form
    4,661.91/6,993.06 = 1,499.67/x
  3. Step 3: Cross multiply
    4,661.91x = 6,993.06 × 1,499.67
  4. Step 4: Simplify right side
    4,661.91x = 10,487,282.29
  5. Step 5: Solve for x
    x = 10,487,282.29/4,661.91
  6. Step 6: Final answer
    x = 2,249.57

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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.