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Finding the Fourth Proportional to 3,242.40, 4,865.04 and 1,296.06

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Solution

The fourth proportional to 3,242.40, 4,865.04 and 1,296.06 is: 1,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.40 : 4,865.04 = 1,296.06 : x
  2. Step 2: Convert to fraction form
    3,242.40/4,865.04 = 1,296.06/x
  3. Step 3: Cross multiply
    3,242.40x = 4,865.04 × 1,296.06
  4. Step 4: Simplify right side
    3,242.40x = 6,305,383.74
  5. Step 5: Solve for x
    x = 6,305,383.74/3,242.40
  6. Step 6: Final answer
    x = 1,944.67

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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.