Home / 1,419.46-2,129.40-495.12

Finding the Fourth Proportional to 1,419.46, 2,129.40 and 495.12

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Solution

The fourth proportional to 1,419.46, 2,129.40 and 495.12 is: 742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.46 : 2,129.40 = 495.12 : x
  2. Step 2: Convert to fraction form
    1,419.46/2,129.40 = 495.12/x
  3. Step 3: Cross multiply
    1,419.46x = 2,129.40 × 495.12
  4. Step 4: Simplify right side
    1,419.46x = 1,054,308.53
  5. Step 5: Solve for x
    x = 1,054,308.53/1,419.46
  6. Step 6: Final answer
    x = 742.75

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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.