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Finding the Fourth Proportional to 3,131.49, 4,697.73 and 1,487.14

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Solution

The fourth proportional to 3,131.49, 4,697.73 and 1,487.14 is: 2,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.49 : 4,697.73 = 1,487.14 : x
  2. Step 2: Convert to fraction form
    3,131.49/4,697.73 = 1,487.14/x
  3. Step 3: Cross multiply
    3,131.49x = 4,697.73 × 1,487.14
  4. Step 4: Simplify right side
    3,131.49x = 6,986,182.19
  5. Step 5: Solve for x
    x = 6,986,182.19/3,131.49
  6. Step 6: Final answer
    x = 2,230.95

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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.