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Finding the Fourth Proportional to 3,047.94, 4,206.12 and 1,722.07

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Solution

The fourth proportional to 3,047.94, 4,206.12 and 1,722.07 is: 2,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.94 : 4,206.12 = 1,722.07 : x
  2. Step 2: Convert to fraction form
    3,047.94/4,206.12 = 1,722.07/x
  3. Step 3: Cross multiply
    3,047.94x = 4,206.12 × 1,722.07
  4. Step 4: Simplify right side
    3,047.94x = 7,243,233.07
  5. Step 5: Solve for x
    x = 7,243,233.07/3,047.94
  6. Step 6: Final answer
    x = 2,376.44

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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.