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Finding the Fourth Proportional to 2,843.80, 4,270.10 and 1,547.80

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Solution

The fourth proportional to 2,843.80, 4,270.10 and 1,547.80 is: 2,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.80 : 4,270.10 = 1,547.80 : x
  2. Step 2: Convert to fraction form
    2,843.80/4,270.10 = 1,547.80/x
  3. Step 3: Cross multiply
    2,843.80x = 4,270.10 × 1,547.80
  4. Step 4: Simplify right side
    2,843.80x = 6,609,260.78
  5. Step 5: Solve for x
    x = 6,609,260.78/2,843.80
  6. Step 6: Final answer
    x = 2,324.09

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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.