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Finding the Fourth Proportional to 1,796.99, 2,478.14 and 1,464.83

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Solution

The fourth proportional to 1,796.99, 2,478.14 and 1,464.83 is: 2,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.99 : 2,478.14 = 1,464.83 : x
  2. Step 2: Convert to fraction form
    1,796.99/2,478.14 = 1,464.83/x
  3. Step 3: Cross multiply
    1,796.99x = 2,478.14 × 1,464.83
  4. Step 4: Simplify right side
    1,796.99x = 3,630,071.07
  5. Step 5: Solve for x
    x = 3,630,071.07/1,796.99
  6. Step 6: Final answer
    x = 2,020.09

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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.