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Finding the Fourth Proportional to 3,414.51, 5,122.47 and 1,950.63

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Solution

The fourth proportional to 3,414.51, 5,122.47 and 1,950.63 is: 2,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.51 : 5,122.47 = 1,950.63 : x
  2. Step 2: Convert to fraction form
    3,414.51/5,122.47 = 1,950.63/x
  3. Step 3: Cross multiply
    3,414.51x = 5,122.47 × 1,950.63
  4. Step 4: Simplify right side
    3,414.51x = 9,992,043.66
  5. Step 5: Solve for x
    x = 9,992,043.66/3,414.51
  6. Step 6: Final answer
    x = 2,926.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.