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Finding the Fourth Proportional to 2,728.53, 3,764.16 and 1,844.01

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Solution

The fourth proportional to 2,728.53, 3,764.16 and 1,844.01 is: 2,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.53 : 3,764.16 = 1,844.01 : x
  2. Step 2: Convert to fraction form
    2,728.53/3,764.16 = 1,844.01/x
  3. Step 3: Cross multiply
    2,728.53x = 3,764.16 × 1,844.01
  4. Step 4: Simplify right side
    2,728.53x = 6,941,148.68
  5. Step 5: Solve for x
    x = 6,941,148.68/2,728.53
  6. Step 6: Final answer
    x = 2,543.92

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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.