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Finding the Fourth Proportional to 1,960.10, 2,705.08 and 1,295.80

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Solution

The fourth proportional to 1,960.10, 2,705.08 and 1,295.80 is: 1,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.10 : 2,705.08 = 1,295.80 : x
  2. Step 2: Convert to fraction form
    1,960.10/2,705.08 = 1,295.80/x
  3. Step 3: Cross multiply
    1,960.10x = 2,705.08 × 1,295.80
  4. Step 4: Simplify right side
    1,960.10x = 3,505,242.66
  5. Step 5: Solve for x
    x = 3,505,242.66/1,960.10
  6. Step 6: Final answer
    x = 1,788.30

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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.