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Finding the Fourth Proportional to 2,114.32, 2,917.72 and 1,182.80

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Solution

The fourth proportional to 2,114.32, 2,917.72 and 1,182.80 is: 1,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.32 : 2,917.72 = 1,182.80 : x
  2. Step 2: Convert to fraction form
    2,114.32/2,917.72 = 1,182.80/x
  3. Step 3: Cross multiply
    2,114.32x = 2,917.72 × 1,182.80
  4. Step 4: Simplify right side
    2,114.32x = 3,451,079.22
  5. Step 5: Solve for x
    x = 3,451,079.22/2,114.32
  6. Step 6: Final answer
    x = 1,632.24

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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.