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Finding the Fourth Proportional to 1,950.31, 2,926.16 and 1,219.03

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Solution

The fourth proportional to 1,950.31, 2,926.16 and 1,219.03 is: 1,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.31 : 2,926.16 = 1,219.03 : x
  2. Step 2: Convert to fraction form
    1,950.31/2,926.16 = 1,219.03/x
  3. Step 3: Cross multiply
    1,950.31x = 2,926.16 × 1,219.03
  4. Step 4: Simplify right side
    1,950.31x = 3,567,076.82
  5. Step 5: Solve for x
    x = 3,567,076.82/1,950.31
  6. Step 6: Final answer
    x = 1,828.98

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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.