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Finding the Fourth Proportional to 2,883.55, 3,979.38 and 1,764.46

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Solution

The fourth proportional to 2,883.55, 3,979.38 and 1,764.46 is: 2,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.55 : 3,979.38 = 1,764.46 : x
  2. Step 2: Convert to fraction form
    2,883.55/3,979.38 = 1,764.46/x
  3. Step 3: Cross multiply
    2,883.55x = 3,979.38 × 1,764.46
  4. Step 4: Simplify right side
    2,883.55x = 7,021,447.31
  5. Step 5: Solve for x
    x = 7,021,447.31/2,883.55
  6. Step 6: Final answer
    x = 2,435.00

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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.