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Finding the Fourth Proportional to 2,005.43, 3,008.12 and 1,116.53

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Solution

The fourth proportional to 2,005.43, 3,008.12 and 1,116.53 is: 1,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.43 : 3,008.12 = 1,116.53 : x
  2. Step 2: Convert to fraction form
    2,005.43/3,008.12 = 1,116.53/x
  3. Step 3: Cross multiply
    2,005.43x = 3,008.12 × 1,116.53
  4. Step 4: Simplify right side
    2,005.43x = 3,358,656.22
  5. Step 5: Solve for x
    x = 3,358,656.22/2,005.43
  6. Step 6: Final answer
    x = 1,674.78

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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.