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Finding the Fourth Proportional to 2,033.32, 3,049.87 and 717.14

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Solution

The fourth proportional to 2,033.32, 3,049.87 and 717.14 is: 1,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.32 : 3,049.87 = 717.14 : x
  2. Step 2: Convert to fraction form
    2,033.32/3,049.87 = 717.14/x
  3. Step 3: Cross multiply
    2,033.32x = 3,049.87 × 717.14
  4. Step 4: Simplify right side
    2,033.32x = 2,187,173.79
  5. Step 5: Solve for x
    x = 2,187,173.79/2,033.32
  6. Step 6: Final answer
    x = 1,075.67

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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.