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Finding the Fourth Proportional to 2,311.34, 3,464.67 and 750.16

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Solution

The fourth proportional to 2,311.34, 3,464.67 and 750.16 is: 1,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.34 : 3,464.67 = 750.16 : x
  2. Step 2: Convert to fraction form
    2,311.34/3,464.67 = 750.16/x
  3. Step 3: Cross multiply
    2,311.34x = 3,464.67 × 750.16
  4. Step 4: Simplify right side
    2,311.34x = 2,599,063.99
  5. Step 5: Solve for x
    x = 2,599,063.99/2,311.34
  6. Step 6: Final answer
    x = 1,124.49

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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.