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Finding the Fourth Proportional to 1,832.41, 2,751.18 and 1,466.02

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Solution

The fourth proportional to 1,832.41, 2,751.18 and 1,466.02 is: 2,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.41 : 2,751.18 = 1,466.02 : x
  2. Step 2: Convert to fraction form
    1,832.41/2,751.18 = 1,466.02/x
  3. Step 3: Cross multiply
    1,832.41x = 2,751.18 × 1,466.02
  4. Step 4: Simplify right side
    1,832.41x = 4,033,284.90
  5. Step 5: Solve for x
    x = 4,033,284.90/1,832.41
  6. Step 6: Final answer
    x = 2,201.08

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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.