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Finding the Fourth Proportional to 1,466.65, 2,201.39 and 1,196.02

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Solution

The fourth proportional to 1,466.65, 2,201.39 and 1,196.02 is: 1,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.65 : 2,201.39 = 1,196.02 : x
  2. Step 2: Convert to fraction form
    1,466.65/2,201.39 = 1,196.02/x
  3. Step 3: Cross multiply
    1,466.65x = 2,201.39 × 1,196.02
  4. Step 4: Simplify right side
    1,466.65x = 2,632,889.48
  5. Step 5: Solve for x
    x = 2,632,889.48/1,466.65
  6. Step 6: Final answer
    x = 1,795.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.