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Finding the Fourth Proportional to 3,378.94, 4,662.94 and 1,886.86

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Solution

The fourth proportional to 3,378.94, 4,662.94 and 1,886.86 is: 2,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.94 : 4,662.94 = 1,886.86 : x
  2. Step 2: Convert to fraction form
    3,378.94/4,662.94 = 1,886.86/x
  3. Step 3: Cross multiply
    3,378.94x = 4,662.94 × 1,886.86
  4. Step 4: Simplify right side
    3,378.94x = 8,798,291.65
  5. Step 5: Solve for x
    x = 8,798,291.65/3,378.94
  6. Step 6: Final answer
    x = 2,603.86

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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.