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Finding the Fourth Proportional to 2,701.54, 4,047.45 and 2,512

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Solution

The fourth proportional to 2,701.54, 4,047.45 and 2,512 is: 3,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.54 : 4,047.45 = 2,512 : x
  2. Step 2: Convert to fraction form
    2,701.54/4,047.45 = 2,512/x
  3. Step 3: Cross multiply
    2,701.54x = 4,047.45 × 2,512
  4. Step 4: Simplify right side
    2,701.54x = 10,167,194.40
  5. Step 5: Solve for x
    x = 10,167,194.40/2,701.54
  6. Step 6: Final answer
    x = 3,763.48

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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.