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Finding the Fourth Proportional to 2,099.71, 3,153.71 and 1,321.10

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Solution

The fourth proportional to 2,099.71, 3,153.71 and 1,321.10 is: 1,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.71 : 3,153.71 = 1,321.10 : x
  2. Step 2: Convert to fraction form
    2,099.71/3,153.71 = 1,321.10/x
  3. Step 3: Cross multiply
    2,099.71x = 3,153.71 × 1,321.10
  4. Step 4: Simplify right side
    2,099.71x = 4,166,366.28
  5. Step 5: Solve for x
    x = 4,166,366.28/2,099.71
  6. Step 6: Final answer
    x = 1,984.26

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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.