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Finding the Fourth Proportional to 3,131.91, 4,698.68 and 1,184.13

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Solution

The fourth proportional to 3,131.91, 4,698.68 and 1,184.13 is: 1,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.91 : 4,698.68 = 1,184.13 : x
  2. Step 2: Convert to fraction form
    3,131.91/4,698.68 = 1,184.13/x
  3. Step 3: Cross multiply
    3,131.91x = 4,698.68 × 1,184.13
  4. Step 4: Simplify right side
    3,131.91x = 5,563,842.03
  5. Step 5: Solve for x
    x = 5,563,842.03/3,131.91
  6. Step 6: Final answer
    x = 1,776.50

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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.