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Finding the Fourth Proportional to 3,066.78, 4,232.48 and 1,887.83

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Solution

The fourth proportional to 3,066.78, 4,232.48 and 1,887.83 is: 2,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.78 : 4,232.48 = 1,887.83 : x
  2. Step 2: Convert to fraction form
    3,066.78/4,232.48 = 1,887.83/x
  3. Step 3: Cross multiply
    3,066.78x = 4,232.48 × 1,887.83
  4. Step 4: Simplify right side
    3,066.78x = 7,990,202.72
  5. Step 5: Solve for x
    x = 7,990,202.72/3,066.78
  6. Step 6: Final answer
    x = 2,605.40

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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.