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Finding the Fourth Proportional to 2,731.07, 3,768.74 and 1,612.05

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Solution

The fourth proportional to 2,731.07, 3,768.74 and 1,612.05 is: 2,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.07 : 3,768.74 = 1,612.05 : x
  2. Step 2: Convert to fraction form
    2,731.07/3,768.74 = 1,612.05/x
  3. Step 3: Cross multiply
    2,731.07x = 3,768.74 × 1,612.05
  4. Step 4: Simplify right side
    2,731.07x = 6,075,401.35
  5. Step 5: Solve for x
    x = 6,075,401.35/2,731.07
  6. Step 6: Final answer
    x = 2,224.55

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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.