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Finding the Fourth Proportional to 2,502.69, 3,745.86 and 1,844.28

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Solution

The fourth proportional to 2,502.69, 3,745.86 and 1,844.28 is: 2,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.69 : 3,745.86 = 1,844.28 : x
  2. Step 2: Convert to fraction form
    2,502.69/3,745.86 = 1,844.28/x
  3. Step 3: Cross multiply
    2,502.69x = 3,745.86 × 1,844.28
  4. Step 4: Simplify right side
    2,502.69x = 6,908,414.68
  5. Step 5: Solve for x
    x = 6,908,414.68/2,502.69
  6. Step 6: Final answer
    x = 2,760.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.