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Finding the Fourth Proportional to 3,078.36, 4,617.54 and 769.86

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Solution

The fourth proportional to 3,078.36, 4,617.54 and 769.86 is: 1,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.36 : 4,617.54 = 769.86 : x
  2. Step 2: Convert to fraction form
    3,078.36/4,617.54 = 769.86/x
  3. Step 3: Cross multiply
    3,078.36x = 4,617.54 × 769.86
  4. Step 4: Simplify right side
    3,078.36x = 3,554,859.34
  5. Step 5: Solve for x
    x = 3,554,859.34/3,078.36
  6. Step 6: Final answer
    x = 1,154.79

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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.