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Finding the Fourth Proportional to 3,048.21, 4,206.89 and 1,789.74

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Solution

The fourth proportional to 3,048.21, 4,206.89 and 1,789.74 is: 2,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.21 : 4,206.89 = 1,789.74 : x
  2. Step 2: Convert to fraction form
    3,048.21/4,206.89 = 1,789.74/x
  3. Step 3: Cross multiply
    3,048.21x = 4,206.89 × 1,789.74
  4. Step 4: Simplify right side
    3,048.21x = 7,529,243.78
  5. Step 5: Solve for x
    x = 7,529,243.78/3,048.21
  6. Step 6: Final answer
    x = 2,470.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.