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Finding the Fourth Proportional to 2,723.58, 4,084.16 and 775.34

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Solution

The fourth proportional to 2,723.58, 4,084.16 and 775.34 is: 1,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.58 : 4,084.16 = 775.34 : x
  2. Step 2: Convert to fraction form
    2,723.58/4,084.16 = 775.34/x
  3. Step 3: Cross multiply
    2,723.58x = 4,084.16 × 775.34
  4. Step 4: Simplify right side
    2,723.58x = 3,166,612.61
  5. Step 5: Solve for x
    x = 3,166,612.61/2,723.58
  6. Step 6: Final answer
    x = 1,162.67

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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.