Home / 1,468.26-2,202.12-946.62

Finding the Fourth Proportional to 1,468.26, 2,202.12 and 946.62

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Solution

The fourth proportional to 1,468.26, 2,202.12 and 946.62 is: 1,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.26 : 2,202.12 = 946.62 : x
  2. Step 2: Convert to fraction form
    1,468.26/2,202.12 = 946.62/x
  3. Step 3: Cross multiply
    1,468.26x = 2,202.12 × 946.62
  4. Step 4: Simplify right side
    1,468.26x = 2,084,570.83
  5. Step 5: Solve for x
    x = 2,084,570.83/1,468.26
  6. Step 6: Final answer
    x = 1,419.76

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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.