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Finding the Fourth Proportional to 3,048.76, 4,571.86 and 1,199.59

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Solution

The fourth proportional to 3,048.76, 4,571.86 and 1,199.59 is: 1,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.76 : 4,571.86 = 1,199.59 : x
  2. Step 2: Convert to fraction form
    3,048.76/4,571.86 = 1,199.59/x
  3. Step 3: Cross multiply
    3,048.76x = 4,571.86 × 1,199.59
  4. Step 4: Simplify right side
    3,048.76x = 5,484,357.54
  5. Step 5: Solve for x
    x = 5,484,357.54/3,048.76
  6. Step 6: Final answer
    x = 1,798.88

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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.