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Finding the Fourth Proportional to 2,922.63, 4,024.17 and 2,282.91

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Solution

The fourth proportional to 2,922.63, 4,024.17 and 2,282.91 is: 3,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.63 : 4,024.17 = 2,282.91 : x
  2. Step 2: Convert to fraction form
    2,922.63/4,024.17 = 2,282.91/x
  3. Step 3: Cross multiply
    2,922.63x = 4,024.17 × 2,282.91
  4. Step 4: Simplify right side
    2,922.63x = 9,186,817.93
  5. Step 5: Solve for x
    x = 9,186,817.93/2,922.63
  6. Step 6: Final answer
    x = 3,143.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.