Home / 1,309.64-1,954.33-1,164.20

Finding the Fourth Proportional to 1,309.64, 1,954.33 and 1,164.20

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Solution

The fourth proportional to 1,309.64, 1,954.33 and 1,164.20 is: 1,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.64 : 1,954.33 = 1,164.20 : x
  2. Step 2: Convert to fraction form
    1,309.64/1,954.33 = 1,164.20/x
  3. Step 3: Cross multiply
    1,309.64x = 1,954.33 × 1,164.20
  4. Step 4: Simplify right side
    1,309.64x = 2,275,230.99
  5. Step 5: Solve for x
    x = 2,275,230.99/1,309.64
  6. Step 6: Final answer
    x = 1,737.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.