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Finding the Fourth Proportional to 2,945.81, 4,065.18 and 1,686.81

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Solution

The fourth proportional to 2,945.81, 4,065.18 and 1,686.81 is: 2,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.81 : 4,065.18 = 1,686.81 : x
  2. Step 2: Convert to fraction form
    2,945.81/4,065.18 = 1,686.81/x
  3. Step 3: Cross multiply
    2,945.81x = 4,065.18 × 1,686.81
  4. Step 4: Simplify right side
    2,945.81x = 6,857,186.28
  5. Step 5: Solve for x
    x = 6,857,186.28/2,945.81
  6. Step 6: Final answer
    x = 2,327.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.