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Finding the Fourth Proportional to 1,287.96, 1,933.86 and 1,226.22

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Solution

The fourth proportional to 1,287.96, 1,933.86 and 1,226.22 is: 1,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.96 : 1,933.86 = 1,226.22 : x
  2. Step 2: Convert to fraction form
    1,287.96/1,933.86 = 1,226.22/x
  3. Step 3: Cross multiply
    1,287.96x = 1,933.86 × 1,226.22
  4. Step 4: Simplify right side
    1,287.96x = 2,371,337.81
  5. Step 5: Solve for x
    x = 2,371,337.81/1,287.96
  6. Step 6: Final answer
    x = 1,841.16

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Why These Related Problems?

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