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Finding the Fourth Proportional to 3,182.94, 4,392.41 and 1,766.63

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Solution

The fourth proportional to 3,182.94, 4,392.41 and 1,766.63 is: 2,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.94 : 4,392.41 = 1,766.63 : x
  2. Step 2: Convert to fraction form
    3,182.94/4,392.41 = 1,766.63/x
  3. Step 3: Cross multiply
    3,182.94x = 4,392.41 × 1,766.63
  4. Step 4: Simplify right side
    3,182.94x = 7,759,732.48
  5. Step 5: Solve for x
    x = 7,759,732.48/3,182.94
  6. Step 6: Final answer
    x = 2,437.91

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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.