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Finding the Fourth Proportional to 4,522.43, 6,784.56 and 1,602.79

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Solution

The fourth proportional to 4,522.43, 6,784.56 and 1,602.79 is: 2,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.43 : 6,784.56 = 1,602.79 : x
  2. Step 2: Convert to fraction form
    4,522.43/6,784.56 = 1,602.79/x
  3. Step 3: Cross multiply
    4,522.43x = 6,784.56 × 1,602.79
  4. Step 4: Simplify right side
    4,522.43x = 10,874,207.96
  5. Step 5: Solve for x
    x = 10,874,207.96/4,522.43
  6. Step 6: Final answer
    x = 2,404.50

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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.