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Finding the Fourth Proportional to 3,370.95, 4,656.08 and 2,380.65

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Solution

The fourth proportional to 3,370.95, 4,656.08 and 2,380.65 is: 3,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.95 : 4,656.08 = 2,380.65 : x
  2. Step 2: Convert to fraction form
    3,370.95/4,656.08 = 2,380.65/x
  3. Step 3: Cross multiply
    3,370.95x = 4,656.08 × 2,380.65
  4. Step 4: Simplify right side
    3,370.95x = 11,084,496.85
  5. Step 5: Solve for x
    x = 11,084,496.85/3,370.95
  6. Step 6: Final answer
    x = 3,288.24

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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.