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Finding the Fourth Proportional to 1,208.07, 1,823.58 and 1,195.11

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Solution

The fourth proportional to 1,208.07, 1,823.58 and 1,195.11 is: 1,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.07 : 1,823.58 = 1,195.11 : x
  2. Step 2: Convert to fraction form
    1,208.07/1,823.58 = 1,195.11/x
  3. Step 3: Cross multiply
    1,208.07x = 1,823.58 × 1,195.11
  4. Step 4: Simplify right side
    1,208.07x = 2,179,378.69
  5. Step 5: Solve for x
    x = 2,179,378.69/1,208.07
  6. Step 6: Final answer
    x = 1,804.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.