Home / 2,429.14-3,643.75-697.77

Finding the Fourth Proportional to 2,429.14, 3,643.75 and 697.77

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Solution

The fourth proportional to 2,429.14, 3,643.75 and 697.77 is: 1,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.14 : 3,643.75 = 697.77 : x
  2. Step 2: Convert to fraction form
    2,429.14/3,643.75 = 697.77/x
  3. Step 3: Cross multiply
    2,429.14x = 3,643.75 × 697.77
  4. Step 4: Simplify right side
    2,429.14x = 2,542,499.44
  5. Step 5: Solve for x
    x = 2,542,499.44/2,429.14
  6. Step 6: Final answer
    x = 1,046.67

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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.