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Finding the Fourth Proportional to 3,164.15, 4,366.28 and 1,766.63

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Solution

The fourth proportional to 3,164.15, 4,366.28 and 1,766.63 is: 2,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.15 : 4,366.28 = 1,766.63 : x
  2. Step 2: Convert to fraction form
    3,164.15/4,366.28 = 1,766.63/x
  3. Step 3: Cross multiply
    3,164.15x = 4,366.28 × 1,766.63
  4. Step 4: Simplify right side
    3,164.15x = 7,713,570.57
  5. Step 5: Solve for x
    x = 7,713,570.57/3,164.15
  6. Step 6: Final answer
    x = 2,437.81

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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.