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Finding the Fourth Proportional to 2,068.83, 2,855.19 and 1,184.91

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Solution

The fourth proportional to 2,068.83, 2,855.19 and 1,184.91 is: 1,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.83 : 2,855.19 = 1,184.91 : x
  2. Step 2: Convert to fraction form
    2,068.83/2,855.19 = 1,184.91/x
  3. Step 3: Cross multiply
    2,068.83x = 2,855.19 × 1,184.91
  4. Step 4: Simplify right side
    2,068.83x = 3,383,143.18
  5. Step 5: Solve for x
    x = 3,383,143.18/2,068.83
  6. Step 6: Final answer
    x = 1,635.29

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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.