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Finding the Fourth Proportional to 3,130.99, 4,698.85 and 2,141.44

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Solution

The fourth proportional to 3,130.99, 4,698.85 and 2,141.44 is: 3,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.99 : 4,698.85 = 2,141.44 : x
  2. Step 2: Convert to fraction form
    3,130.99/4,698.85 = 2,141.44/x
  3. Step 3: Cross multiply
    3,130.99x = 4,698.85 × 2,141.44
  4. Step 4: Simplify right side
    3,130.99x = 10,062,288.24
  5. Step 5: Solve for x
    x = 10,062,288.24/3,130.99
  6. Step 6: Final answer
    x = 3,213.77

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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.