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Finding the Fourth Proportional to 1,843.89, 2,543.58 and 1,254.21

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Solution

The fourth proportional to 1,843.89, 2,543.58 and 1,254.21 is: 1,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.89 : 2,543.58 = 1,254.21 : x
  2. Step 2: Convert to fraction form
    1,843.89/2,543.58 = 1,254.21/x
  3. Step 3: Cross multiply
    1,843.89x = 2,543.58 × 1,254.21
  4. Step 4: Simplify right side
    1,843.89x = 3,190,183.47
  5. Step 5: Solve for x
    x = 3,190,183.47/1,843.89
  6. Step 6: Final answer
    x = 1,730.14

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1.5x scale

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.