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Finding the Fourth Proportional to 1,323.16, 1,825.18 and 1,100.18

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Solution

The fourth proportional to 1,323.16, 1,825.18 and 1,100.18 is: 1,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.16 : 1,825.18 = 1,100.18 : x
  2. Step 2: Convert to fraction form
    1,323.16/1,825.18 = 1,100.18/x
  3. Step 3: Cross multiply
    1,323.16x = 1,825.18 × 1,100.18
  4. Step 4: Simplify right side
    1,323.16x = 2,008,028.34
  5. Step 5: Solve for x
    x = 2,008,028.34/1,323.16
  6. Step 6: Final answer
    x = 1,517.60

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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.