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Finding the Fourth Proportional to 2,179.39, 3,266.85 and 945.76

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Solution

The fourth proportional to 2,179.39, 3,266.85 and 945.76 is: 1,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.39 : 3,266.85 = 945.76 : x
  2. Step 2: Convert to fraction form
    2,179.39/3,266.85 = 945.76/x
  3. Step 3: Cross multiply
    2,179.39x = 3,266.85 × 945.76
  4. Step 4: Simplify right side
    2,179.39x = 3,089,656.06
  5. Step 5: Solve for x
    x = 3,089,656.06/2,179.39
  6. Step 6: Final answer
    x = 1,417.67

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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.