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Finding the Fourth Proportional to 2,209, 3,314.94 and 841

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Solution

The fourth proportional to 2,209, 3,314.94 and 841 is: 1,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209 : 3,314.94 = 841 : x
  2. Step 2: Convert to fraction form
    2,209/3,314.94 = 841/x
  3. Step 3: Cross multiply
    2,209x = 3,314.94 × 841
  4. Step 4: Simplify right side
    2,209x = 2,787,864.54
  5. Step 5: Solve for x
    x = 2,787,864.54/2,209
  6. Step 6: Final answer
    x = 1,262.05

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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.