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Finding the Fourth Proportional to 3,078.41, 4,617.63 and 769.91

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Solution

The fourth proportional to 3,078.41, 4,617.63 and 769.91 is: 1,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.41 : 4,617.63 = 769.91 : x
  2. Step 2: Convert to fraction form
    3,078.41/4,617.63 = 769.91/x
  3. Step 3: Cross multiply
    3,078.41x = 4,617.63 × 769.91
  4. Step 4: Simplify right side
    3,078.41x = 3,555,159.51
  5. Step 5: Solve for x
    x = 3,555,159.51/3,078.41
  6. Step 6: Final answer
    x = 1,154.87

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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.