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Finding the Fourth Proportional to 2,066.78, 2,852.22 and 1,182.87

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Solution

The fourth proportional to 2,066.78, 2,852.22 and 1,182.87 is: 1,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.78 : 2,852.22 = 1,182.87 : x
  2. Step 2: Convert to fraction form
    2,066.78/2,852.22 = 1,182.87/x
  3. Step 3: Cross multiply
    2,066.78x = 2,852.22 × 1,182.87
  4. Step 4: Simplify right side
    2,066.78x = 3,373,809.91
  5. Step 5: Solve for x
    x = 3,373,809.91/2,066.78
  6. Step 6: Final answer
    x = 1,632.40

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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.