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Finding the Fourth Proportional to 3,378.34, 4,662.34 and 1,886.23

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Solution

The fourth proportional to 3,378.34, 4,662.34 and 1,886.23 is: 2,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.34 : 4,662.34 = 1,886.23 : x
  2. Step 2: Convert to fraction form
    3,378.34/4,662.34 = 1,886.23/x
  3. Step 3: Cross multiply
    3,378.34x = 4,662.34 × 1,886.23
  4. Step 4: Simplify right side
    3,378.34x = 8,794,238.05
  5. Step 5: Solve for x
    x = 8,794,238.05/3,378.34
  6. Step 6: Final answer
    x = 2,603.12

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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.