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Finding the Fourth Proportional to 3,378.81, 4,662.71 and 1,886.71

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Solution

The fourth proportional to 3,378.81, 4,662.71 and 1,886.71 is: 2,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.81 : 4,662.71 = 1,886.71 : x
  2. Step 2: Convert to fraction form
    3,378.81/4,662.71 = 1,886.71/x
  3. Step 3: Cross multiply
    3,378.81x = 4,662.71 × 1,886.71
  4. Step 4: Simplify right side
    3,378.81x = 8,797,185.05
  5. Step 5: Solve for x
    x = 8,797,185.05/3,378.81
  6. Step 6: Final answer
    x = 2,603.63

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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.