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Finding the Fourth Proportional to 1,309.63, 1,967.18 and 1,104.60

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Solution

The fourth proportional to 1,309.63, 1,967.18 and 1,104.60 is: 1,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.63 : 1,967.18 = 1,104.60 : x
  2. Step 2: Convert to fraction form
    1,309.63/1,967.18 = 1,104.60/x
  3. Step 3: Cross multiply
    1,309.63x = 1,967.18 × 1,104.60
  4. Step 4: Simplify right side
    1,309.63x = 2,172,947.03
  5. Step 5: Solve for x
    x = 2,172,947.03/1,309.63
  6. Step 6: Final answer
    x = 1,659.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.