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Finding the Fourth Proportional to 1,226.01, 1,837.26 and 950.82

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Solution

The fourth proportional to 1,226.01, 1,837.26 and 950.82 is: 1,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.01 : 1,837.26 = 950.82 : x
  2. Step 2: Convert to fraction form
    1,226.01/1,837.26 = 950.82/x
  3. Step 3: Cross multiply
    1,226.01x = 1,837.26 × 950.82
  4. Step 4: Simplify right side
    1,226.01x = 1,746,894.37
  5. Step 5: Solve for x
    x = 1,746,894.37/1,226.01
  6. Step 6: Final answer
    x = 1,424.86

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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.