Home / 1,541.19-2,309.49-809.01

Finding the Fourth Proportional to 1,541.19, 2,309.49 and 809.01

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Solution

The fourth proportional to 1,541.19, 2,309.49 and 809.01 is: 1,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.19 : 2,309.49 = 809.01 : x
  2. Step 2: Convert to fraction form
    1,541.19/2,309.49 = 809.01/x
  3. Step 3: Cross multiply
    1,541.19x = 2,309.49 × 809.01
  4. Step 4: Simplify right side
    1,541.19x = 1,868,400.50
  5. Step 5: Solve for x
    x = 1,868,400.50/1,541.19
  6. Step 6: Final answer
    x = 1,212.31

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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.