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Finding the Fourth Proportional to 3,131.81, 4,700.09 and 1,159.30

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Solution

The fourth proportional to 3,131.81, 4,700.09 and 1,159.30 is: 1,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.81 : 4,700.09 = 1,159.30 : x
  2. Step 2: Convert to fraction form
    3,131.81/4,700.09 = 1,159.30/x
  3. Step 3: Cross multiply
    3,131.81x = 4,700.09 × 1,159.30
  4. Step 4: Simplify right side
    3,131.81x = 5,448,814.34
  5. Step 5: Solve for x
    x = 5,448,814.34/3,131.81
  6. Step 6: Final answer
    x = 1,739.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.