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Finding the Fourth Proportional to 2,179.19, 3,266.95 and 945.67

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Solution

The fourth proportional to 2,179.19, 3,266.95 and 945.67 is: 1,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.19 : 3,266.95 = 945.67 : x
  2. Step 2: Convert to fraction form
    2,179.19/3,266.95 = 945.67/x
  3. Step 3: Cross multiply
    2,179.19x = 3,266.95 × 945.67
  4. Step 4: Simplify right side
    2,179.19x = 3,089,462.41
  5. Step 5: Solve for x
    x = 3,089,462.41/2,179.19
  6. Step 6: Final answer
    x = 1,417.71

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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.