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Finding the Fourth Proportional to 3,048.53, 4,206.62 and 1,722.16

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Solution

The fourth proportional to 3,048.53, 4,206.62 and 1,722.16 is: 2,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.53 : 4,206.62 = 1,722.16 : x
  2. Step 2: Convert to fraction form
    3,048.53/4,206.62 = 1,722.16/x
  3. Step 3: Cross multiply
    3,048.53x = 4,206.62 × 1,722.16
  4. Step 4: Simplify right side
    3,048.53x = 7,244,443.06
  5. Step 5: Solve for x
    x = 7,244,443.06/3,048.53
  6. Step 6: Final answer
    x = 2,376.37

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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.