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Finding the Fourth Proportional to 1,961.16, 2,936.08 and 1,527

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Solution

The fourth proportional to 1,961.16, 2,936.08 and 1,527 is: 2,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.16 : 2,936.08 = 1,527 : x
  2. Step 2: Convert to fraction form
    1,961.16/2,936.08 = 1,527/x
  3. Step 3: Cross multiply
    1,961.16x = 2,936.08 × 1,527
  4. Step 4: Simplify right side
    1,961.16x = 4,483,394.16
  5. Step 5: Solve for x
    x = 4,483,394.16/1,961.16
  6. Step 6: Final answer
    x = 2,286.09

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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.