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Finding the Fourth Proportional to 2,996.57, 4,497.20 and 2,078.58

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Solution

The fourth proportional to 2,996.57, 4,497.20 and 2,078.58 is: 3,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.57 : 4,497.20 = 2,078.58 : x
  2. Step 2: Convert to fraction form
    2,996.57/4,497.20 = 2,078.58/x
  3. Step 3: Cross multiply
    2,996.57x = 4,497.20 × 2,078.58
  4. Step 4: Simplify right side
    2,996.57x = 9,347,815.93
  5. Step 5: Solve for x
    x = 9,347,815.93/2,996.57
  6. Step 6: Final answer
    x = 3,119.51

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1.5x scale

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.