Home / 1,945.28-2,684.80-1,159.80

Finding the Fourth Proportional to 1,945.28, 2,684.80 and 1,159.80

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Solution

The fourth proportional to 1,945.28, 2,684.80 and 1,159.80 is: 1,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.28 : 2,684.80 = 1,159.80 : x
  2. Step 2: Convert to fraction form
    1,945.28/2,684.80 = 1,159.80/x
  3. Step 3: Cross multiply
    1,945.28x = 2,684.80 × 1,159.80
  4. Step 4: Simplify right side
    1,945.28x = 3,113,831.04
  5. Step 5: Solve for x
    x = 3,113,831.04/1,945.28
  6. Step 6: Final answer
    x = 1,600.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.