Home / 2,052.23-2,831.67-1,167.84

Finding the Fourth Proportional to 2,052.23, 2,831.67 and 1,167.84

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Solution

The fourth proportional to 2,052.23, 2,831.67 and 1,167.84 is: 1,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.23 : 2,831.67 = 1,167.84 : x
  2. Step 2: Convert to fraction form
    2,052.23/2,831.67 = 1,167.84/x
  3. Step 3: Cross multiply
    2,052.23x = 2,831.67 × 1,167.84
  4. Step 4: Simplify right side
    2,052.23x = 3,306,937.49
  5. Step 5: Solve for x
    x = 3,306,937.49/2,052.23
  6. Step 6: Final answer
    x = 1,611.39

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1.5x scale

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.