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Finding the Fourth Proportional to 1,454.90, 2,182.16 and 415

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Solution

The fourth proportional to 1,454.90, 2,182.16 and 415 is: 622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.90 : 2,182.16 = 415 : x
  2. Step 2: Convert to fraction form
    1,454.90/2,182.16 = 415/x
  3. Step 3: Cross multiply
    1,454.90x = 2,182.16 × 415
  4. Step 4: Simplify right side
    1,454.90x = 905,596.40
  5. Step 5: Solve for x
    x = 905,596.40/1,454.90
  6. Step 6: Final answer
    x = 622.45

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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.