Home / 1,541.35-2,309.19-811.41

Finding the Fourth Proportional to 1,541.35, 2,309.19 and 811.41

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Solution

The fourth proportional to 1,541.35, 2,309.19 and 811.41 is: 1,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.35 : 2,309.19 = 811.41 : x
  2. Step 2: Convert to fraction form
    1,541.35/2,309.19 = 811.41/x
  3. Step 3: Cross multiply
    1,541.35x = 2,309.19 × 811.41
  4. Step 4: Simplify right side
    1,541.35x = 1,873,699.86
  5. Step 5: Solve for x
    x = 1,873,699.86/1,541.35
  6. Step 6: Final answer
    x = 1,215.62

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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.