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Finding the Fourth Proportional to 1,766.14, 2,448.43 and 1,672.51

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Solution

The fourth proportional to 1,766.14, 2,448.43 and 1,672.51 is: 2,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.14 : 2,448.43 = 1,672.51 : x
  2. Step 2: Convert to fraction form
    1,766.14/2,448.43 = 1,672.51/x
  3. Step 3: Cross multiply
    1,766.14x = 2,448.43 × 1,672.51
  4. Step 4: Simplify right side
    1,766.14x = 4,095,023.66
  5. Step 5: Solve for x
    x = 4,095,023.66/1,766.14
  6. Step 6: Final answer
    x = 2,318.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.