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Finding the Fourth Proportional to 2,718.54, 4,081.62 and 1,800

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Solution

The fourth proportional to 2,718.54, 4,081.62 and 1,800 is: 2,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.54 : 4,081.62 = 1,800 : x
  2. Step 2: Convert to fraction form
    2,718.54/4,081.62 = 1,800/x
  3. Step 3: Cross multiply
    2,718.54x = 4,081.62 × 1,800
  4. Step 4: Simplify right side
    2,718.54x = 7,346,916
  5. Step 5: Solve for x
    x = 7,346,916/2,718.54
  6. Step 6: Final answer
    x = 2,702.52

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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.