Home / 2,292.26-3,438.48-811.40

Finding the Fourth Proportional to 2,292.26, 3,438.48 and 811.40

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Solution

The fourth proportional to 2,292.26, 3,438.48 and 811.40 is: 1,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.26 : 3,438.48 = 811.40 : x
  2. Step 2: Convert to fraction form
    2,292.26/3,438.48 = 811.40/x
  3. Step 3: Cross multiply
    2,292.26x = 3,438.48 × 811.40
  4. Step 4: Simplify right side
    2,292.26x = 2,789,982.67
  5. Step 5: Solve for x
    x = 2,789,982.67/2,292.26
  6. Step 6: Final answer
    x = 1,217.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.