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Finding the Fourth Proportional to 2,385.64, 3,290.52 and 2,305.36

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Solution

The fourth proportional to 2,385.64, 3,290.52 and 2,305.36 is: 3,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.64 : 3,290.52 = 2,305.36 : x
  2. Step 2: Convert to fraction form
    2,385.64/3,290.52 = 2,305.36/x
  3. Step 3: Cross multiply
    2,385.64x = 3,290.52 × 2,305.36
  4. Step 4: Simplify right side
    2,385.64x = 7,585,833.19
  5. Step 5: Solve for x
    x = 7,585,833.19/2,385.64
  6. Step 6: Final answer
    x = 3,179.79

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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.