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Finding the Fourth Proportional to 1,659.63, 2,289.56 and 1,100.19

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Solution

The fourth proportional to 1,659.63, 2,289.56 and 1,100.19 is: 1,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.63 : 2,289.56 = 1,100.19 : x
  2. Step 2: Convert to fraction form
    1,659.63/2,289.56 = 1,100.19/x
  3. Step 3: Cross multiply
    1,659.63x = 2,289.56 × 1,100.19
  4. Step 4: Simplify right side
    1,659.63x = 2,518,945.52
  5. Step 5: Solve for x
    x = 2,518,945.52/1,659.63
  6. Step 6: Final answer
    x = 1,517.78

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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.