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Finding the Fourth Proportional to 1,323.83, 1,975.95 and 1,168.16

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Solution

The fourth proportional to 1,323.83, 1,975.95 and 1,168.16 is: 1,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.83 : 1,975.95 = 1,168.16 : x
  2. Step 2: Convert to fraction form
    1,323.83/1,975.95 = 1,168.16/x
  3. Step 3: Cross multiply
    1,323.83x = 1,975.95 × 1,168.16
  4. Step 4: Simplify right side
    1,323.83x = 2,308,230.69
  5. Step 5: Solve for x
    x = 2,308,230.69/1,323.83
  6. Step 6: Final answer
    x = 1,743.60

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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.