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Finding the Fourth Proportional to 2,099.51, 3,148.29 and 1,512.05

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Solution

The fourth proportional to 2,099.51, 3,148.29 and 1,512.05 is: 2,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.51 : 3,148.29 = 1,512.05 : x
  2. Step 2: Convert to fraction form
    2,099.51/3,148.29 = 1,512.05/x
  3. Step 3: Cross multiply
    2,099.51x = 3,148.29 × 1,512.05
  4. Step 4: Simplify right side
    2,099.51x = 4,760,356.15
  5. Step 5: Solve for x
    x = 4,760,356.15/2,099.51
  6. Step 6: Final answer
    x = 2,267.37

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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.