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Finding the Fourth Proportional to 3,378.24, 4,661.94 and 1,865.82

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Solution

The fourth proportional to 3,378.24, 4,661.94 and 1,865.82 is: 2,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.24 : 4,661.94 = 1,865.82 : x
  2. Step 2: Convert to fraction form
    3,378.24/4,661.94 = 1,865.82/x
  3. Step 3: Cross multiply
    3,378.24x = 4,661.94 × 1,865.82
  4. Step 4: Simplify right side
    3,378.24x = 8,698,340.89
  5. Step 5: Solve for x
    x = 8,698,340.89/3,378.24
  6. Step 6: Final answer
    x = 2,574.81

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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.