Home / 2,052-2,831.78-1,120.52

Finding the Fourth Proportional to 2,052, 2,831.78 and 1,120.52

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Solution

The fourth proportional to 2,052, 2,831.78 and 1,120.52 is: 1,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052 : 2,831.78 = 1,120.52 : x
  2. Step 2: Convert to fraction form
    2,052/2,831.78 = 1,120.52/x
  3. Step 3: Cross multiply
    2,052x = 2,831.78 × 1,120.52
  4. Step 4: Simplify right side
    2,052x = 3,173,066.13
  5. Step 5: Solve for x
    x = 3,173,066.13/2,052
  6. Step 6: Final answer
    x = 1,546.33

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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.