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Finding the Fourth Proportional to 2,568.88, 3,853.50 and 1,270

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Solution

The fourth proportional to 2,568.88, 3,853.50 and 1,270 is: 1,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.88 : 3,853.50 = 1,270 : x
  2. Step 2: Convert to fraction form
    2,568.88/3,853.50 = 1,270/x
  3. Step 3: Cross multiply
    2,568.88x = 3,853.50 × 1,270
  4. Step 4: Simplify right side
    2,568.88x = 4,893,945
  5. Step 5: Solve for x
    x = 4,893,945/2,568.88
  6. Step 6: Final answer
    x = 1,905.09

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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.