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Finding the Fourth Proportional to 2,893.95, 4,334.00 and 2,748.64

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Solution

The fourth proportional to 2,893.95, 4,334.00 and 2,748.64 is: 4,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.95 : 4,334.00 = 2,748.64 : x
  2. Step 2: Convert to fraction form
    2,893.95/4,334.00 = 2,748.64/x
  3. Step 3: Cross multiply
    2,893.95x = 4,334.00 × 2,748.64
  4. Step 4: Simplify right side
    2,893.95x = 11,912,588.05
  5. Step 5: Solve for x
    x = 11,912,588.05/2,893.95
  6. Step 6: Final answer
    x = 4,116.37

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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.