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Finding the Fourth Proportional to 3,274.17, 4,911.30 and 965.67

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Solution

The fourth proportional to 3,274.17, 4,911.30 and 965.67 is: 1,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.17 : 4,911.30 = 965.67 : x
  2. Step 2: Convert to fraction form
    3,274.17/4,911.30 = 965.67/x
  3. Step 3: Cross multiply
    3,274.17x = 4,911.30 × 965.67
  4. Step 4: Simplify right side
    3,274.17x = 4,742,695.07
  5. Step 5: Solve for x
    x = 4,742,695.07/3,274.17
  6. Step 6: Final answer
    x = 1,448.52

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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.