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Finding the Fourth Proportional to 2,005.19, 2,768.11 and 1,508.02

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Solution

The fourth proportional to 2,005.19, 2,768.11 and 1,508.02 is: 2,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.19 : 2,768.11 = 1,508.02 : x
  2. Step 2: Convert to fraction form
    2,005.19/2,768.11 = 1,508.02/x
  3. Step 3: Cross multiply
    2,005.19x = 2,768.11 × 1,508.02
  4. Step 4: Simplify right side
    2,005.19x = 4,174,354.55
  5. Step 5: Solve for x
    x = 4,174,354.55/2,005.19
  6. Step 6: Final answer
    x = 2,081.78

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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.