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Finding the Fourth Proportional to 2,008.40, 3,008.79 and 1,184.22

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Solution

The fourth proportional to 2,008.40, 3,008.79 and 1,184.22 is: 1,774.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.40 : 3,008.79 = 1,184.22 : x
  2. Step 2: Convert to fraction form
    2,008.40/3,008.79 = 1,184.22/x
  3. Step 3: Cross multiply
    2,008.40x = 3,008.79 × 1,184.22
  4. Step 4: Simplify right side
    2,008.40x = 3,563,069.29
  5. Step 5: Solve for x
    x = 3,563,069.29/2,008.40
  6. Step 6: Final answer
    x = 1,774.09

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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.