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Finding the Fourth Proportional to 2,065.15, 3,094.98 and 967.55

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Solution

The fourth proportional to 2,065.15, 3,094.98 and 967.55 is: 1,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.15 : 3,094.98 = 967.55 : x
  2. Step 2: Convert to fraction form
    2,065.15/3,094.98 = 967.55/x
  3. Step 3: Cross multiply
    2,065.15x = 3,094.98 × 967.55
  4. Step 4: Simplify right side
    2,065.15x = 2,994,536.96
  5. Step 5: Solve for x
    x = 2,994,536.96/2,065.15
  6. Step 6: Final answer
    x = 1,450.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.