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Finding the Fourth Proportional to 1,950.98, 2,927.24 and 854.58

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Solution

The fourth proportional to 1,950.98, 2,927.24 and 854.58 is: 1,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.98 : 2,927.24 = 854.58 : x
  2. Step 2: Convert to fraction form
    1,950.98/2,927.24 = 854.58/x
  3. Step 3: Cross multiply
    1,950.98x = 2,927.24 × 854.58
  4. Step 4: Simplify right side
    1,950.98x = 2,501,545.97
  5. Step 5: Solve for x
    x = 2,501,545.97/1,950.98
  6. Step 6: Final answer
    x = 1,282.20

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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.