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Finding the Fourth Proportional to 1,476.54, 2,214 and 1,356.12

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Solution

The fourth proportional to 1,476.54, 2,214 and 1,356.12 is: 2,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.54 : 2,214 = 1,356.12 : x
  2. Step 2: Convert to fraction form
    1,476.54/2,214 = 1,356.12/x
  3. Step 3: Cross multiply
    1,476.54x = 2,214 × 1,356.12
  4. Step 4: Simplify right side
    1,476.54x = 3,002,449.68
  5. Step 5: Solve for x
    x = 3,002,449.68/1,476.54
  6. Step 6: Final answer
    x = 2,033.44

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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.