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Finding the Fourth Proportional to 2,099.80, 2,899.83 and 1,730.44

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Solution

The fourth proportional to 2,099.80, 2,899.83 and 1,730.44 is: 2,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.80 : 2,899.83 = 1,730.44 : x
  2. Step 2: Convert to fraction form
    2,099.80/2,899.83 = 1,730.44/x
  3. Step 3: Cross multiply
    2,099.80x = 2,899.83 × 1,730.44
  4. Step 4: Simplify right side
    2,099.80x = 5,017,981.83
  5. Step 5: Solve for x
    x = 5,017,981.83/2,099.80
  6. Step 6: Final answer
    x = 2,389.74

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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.