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Finding the Fourth Proportional to 2,296.20, 3,443.70 and 652.56

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Solution

The fourth proportional to 2,296.20, 3,443.70 and 652.56 is: 978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.20 : 3,443.70 = 652.56 : x
  2. Step 2: Convert to fraction form
    2,296.20/3,443.70 = 652.56/x
  3. Step 3: Cross multiply
    2,296.20x = 3,443.70 × 652.56
  4. Step 4: Simplify right side
    2,296.20x = 2,247,220.87
  5. Step 5: Solve for x
    x = 2,247,220.87/2,296.20
  6. Step 6: Final answer
    x = 978.67

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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.