Home / 2,465.25-3,697.97-821.81

Finding the Fourth Proportional to 2,465.25, 3,697.97 and 821.81

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Solution

The fourth proportional to 2,465.25, 3,697.97 and 821.81 is: 1,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.25 : 3,697.97 = 821.81 : x
  2. Step 2: Convert to fraction form
    2,465.25/3,697.97 = 821.81/x
  3. Step 3: Cross multiply
    2,465.25x = 3,697.97 × 821.81
  4. Step 4: Simplify right side
    2,465.25x = 3,039,006.13
  5. Step 5: Solve for x
    x = 3,039,006.13/2,465.25
  6. Step 6: Final answer
    x = 1,232.74

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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.