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Finding the Fourth Proportional to 3,048.56, 4,206.92 and 1,722.24

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Solution

The fourth proportional to 3,048.56, 4,206.92 and 1,722.24 is: 2,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.56 : 4,206.92 = 1,722.24 : x
  2. Step 2: Convert to fraction form
    3,048.56/4,206.92 = 1,722.24/x
  3. Step 3: Cross multiply
    3,048.56x = 4,206.92 × 1,722.24
  4. Step 4: Simplify right side
    3,048.56x = 7,245,325.90
  5. Step 5: Solve for x
    x = 7,245,325.90/3,048.56
  6. Step 6: Final answer
    x = 2,376.64

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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.