Home / 2,467.12-3,700.14-735.34

Finding the Fourth Proportional to 2,467.12, 3,700.14 and 735.34

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Solution

The fourth proportional to 2,467.12, 3,700.14 and 735.34 is: 1,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.12 : 3,700.14 = 735.34 : x
  2. Step 2: Convert to fraction form
    2,467.12/3,700.14 = 735.34/x
  3. Step 3: Cross multiply
    2,467.12x = 3,700.14 × 735.34
  4. Step 4: Simplify right side
    2,467.12x = 2,720,860.95
  5. Step 5: Solve for x
    x = 2,720,860.95/2,467.12
  6. Step 6: Final answer
    x = 1,102.85

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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.