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Finding the Fourth Proportional to 2,000.35, 2,760.47 and 1,116.14

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Solution

The fourth proportional to 2,000.35, 2,760.47 and 1,116.14 is: 1,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.35 : 2,760.47 = 1,116.14 : x
  2. Step 2: Convert to fraction form
    2,000.35/2,760.47 = 1,116.14/x
  3. Step 3: Cross multiply
    2,000.35x = 2,760.47 × 1,116.14
  4. Step 4: Simplify right side
    2,000.35x = 3,081,070.99
  5. Step 5: Solve for x
    x = 3,081,070.99/2,000.35
  6. Step 6: Final answer
    x = 1,540.27

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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.