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Finding the Fourth Proportional to 2,063.12, 3,094.88 and 676.40

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Solution

The fourth proportional to 2,063.12, 3,094.88 and 676.40 is: 1,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.12 : 3,094.88 = 676.40 : x
  2. Step 2: Convert to fraction form
    2,063.12/3,094.88 = 676.40/x
  3. Step 3: Cross multiply
    2,063.12x = 3,094.88 × 676.40
  4. Step 4: Simplify right side
    2,063.12x = 2,093,376.83
  5. Step 5: Solve for x
    x = 2,093,376.83/2,063.12
  6. Step 6: Final answer
    x = 1,014.67

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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.