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Finding the Fourth Proportional to 2,730.41, 3,768.12 and 1,612.01

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Solution

The fourth proportional to 2,730.41, 3,768.12 and 1,612.01 is: 2,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.41 : 3,768.12 = 1,612.01 : x
  2. Step 2: Convert to fraction form
    2,730.41/3,768.12 = 1,612.01/x
  3. Step 3: Cross multiply
    2,730.41x = 3,768.12 × 1,612.01
  4. Step 4: Simplify right side
    2,730.41x = 6,074,247.12
  5. Step 5: Solve for x
    x = 6,074,247.12/2,730.41
  6. Step 6: Final answer
    x = 2,224.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.