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Finding the Fourth Proportional to 4,105.99, 6,159.75 and 1,332.82

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Solution

The fourth proportional to 4,105.99, 6,159.75 and 1,332.82 is: 1,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.99 : 6,159.75 = 1,332.82 : x
  2. Step 2: Convert to fraction form
    4,105.99/6,159.75 = 1,332.82/x
  3. Step 3: Cross multiply
    4,105.99x = 6,159.75 × 1,332.82
  4. Step 4: Simplify right side
    4,105.99x = 8,209,838.00
  5. Step 5: Solve for x
    x = 8,209,838.00/4,105.99
  6. Step 6: Final answer
    x = 1,999.48

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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.