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Finding the Fourth Proportional to 2,008.12, 2,771.30 and 1,124

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Solution

The fourth proportional to 2,008.12, 2,771.30 and 1,124 is: 1,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.12 : 2,771.30 = 1,124 : x
  2. Step 2: Convert to fraction form
    2,008.12/2,771.30 = 1,124/x
  3. Step 3: Cross multiply
    2,008.12x = 2,771.30 × 1,124
  4. Step 4: Simplify right side
    2,008.12x = 3,114,941.20
  5. Step 5: Solve for x
    x = 3,114,941.20/2,008.12
  6. Step 6: Final answer
    x = 1,551.17

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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.