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Finding the Fourth Proportional to 2,945.95, 4,065.74 and 1,767.31

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Solution

The fourth proportional to 2,945.95, 4,065.74 and 1,767.31 is: 2,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.95 : 4,065.74 = 1,767.31 : x
  2. Step 2: Convert to fraction form
    2,945.95/4,065.74 = 1,767.31/x
  3. Step 3: Cross multiply
    2,945.95x = 4,065.74 × 1,767.31
  4. Step 4: Simplify right side
    2,945.95x = 7,185,422.96
  5. Step 5: Solve for x
    x = 7,185,422.96/2,945.95
  6. Step 6: Final answer
    x = 2,439.09

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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.