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Finding the Fourth Proportional to 1,415.16, 2,122.50 and 441

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Solution

The fourth proportional to 1,415.16, 2,122.50 and 441 is: 661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.16 : 2,122.50 = 441 : x
  2. Step 2: Convert to fraction form
    1,415.16/2,122.50 = 441/x
  3. Step 3: Cross multiply
    1,415.16x = 2,122.50 × 441
  4. Step 4: Simplify right side
    1,415.16x = 936,024.15
  5. Step 5: Solve for x
    x = 936,024.15/1,415.16
  6. Step 6: Final answer
    x = 661.43

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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.