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Finding the Fourth Proportional to 1,104.58, 1,643.45 and 1,100.80

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Solution

The fourth proportional to 1,104.58, 1,643.45 and 1,100.80 is: 1,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.58 : 1,643.45 = 1,100.80 : x
  2. Step 2: Convert to fraction form
    1,104.58/1,643.45 = 1,100.80/x
  3. Step 3: Cross multiply
    1,104.58x = 1,643.45 × 1,100.80
  4. Step 4: Simplify right side
    1,104.58x = 1,809,109.76
  5. Step 5: Solve for x
    x = 1,809,109.76/1,104.58
  6. Step 6: Final answer
    x = 1,637.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.