Home / 1,469.12-2,203.74-429.23

Finding the Fourth Proportional to 1,469.12, 2,203.74 and 429.23

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Solution

The fourth proportional to 1,469.12, 2,203.74 and 429.23 is: 643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.12 : 2,203.74 = 429.23 : x
  2. Step 2: Convert to fraction form
    1,469.12/2,203.74 = 429.23/x
  3. Step 3: Cross multiply
    1,469.12x = 2,203.74 × 429.23
  4. Step 4: Simplify right side
    1,469.12x = 945,911.32
  5. Step 5: Solve for x
    x = 945,911.32/1,469.12
  6. Step 6: Final answer
    x = 643.86

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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.