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Finding the Fourth Proportional to 3,189.85, 4,784.00 and 1,340.99

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Solution

The fourth proportional to 3,189.85, 4,784.00 and 1,340.99 is: 2,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.85 : 4,784.00 = 1,340.99 : x
  2. Step 2: Convert to fraction form
    3,189.85/4,784.00 = 1,340.99/x
  3. Step 3: Cross multiply
    3,189.85x = 4,784.00 × 1,340.99
  4. Step 4: Simplify right side
    3,189.85x = 6,415,265.54
  5. Step 5: Solve for x
    x = 6,415,265.54/3,189.85
  6. Step 6: Final answer
    x = 2,011.15

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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.