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Finding the Fourth Proportional to 2,013.10, 2,777.88 and 1,267

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Solution

The fourth proportional to 2,013.10, 2,777.88 and 1,267 is: 1,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.10 : 2,777.88 = 1,267 : x
  2. Step 2: Convert to fraction form
    2,013.10/2,777.88 = 1,267/x
  3. Step 3: Cross multiply
    2,013.10x = 2,777.88 × 1,267
  4. Step 4: Simplify right side
    2,013.10x = 3,519,573.96
  5. Step 5: Solve for x
    x = 3,519,573.96/2,013.10
  6. Step 6: Final answer
    x = 1,748.34

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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.