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Finding the Fourth Proportional to 2,855.83, 4,280.29 and 1,620.68

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Solution

The fourth proportional to 2,855.83, 4,280.29 and 1,620.68 is: 2,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.83 : 4,280.29 = 1,620.68 : x
  2. Step 2: Convert to fraction form
    2,855.83/4,280.29 = 1,620.68/x
  3. Step 3: Cross multiply
    2,855.83x = 4,280.29 × 1,620.68
  4. Step 4: Simplify right side
    2,855.83x = 6,936,980.40
  5. Step 5: Solve for x
    x = 6,936,980.40/2,855.83
  6. Step 6: Final answer
    x = 2,429.06

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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.