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Finding the Fourth Proportional to 2,176.34, 3,265.42 and 943.52

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Solution

The fourth proportional to 2,176.34, 3,265.42 and 943.52 is: 1,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.34 : 3,265.42 = 943.52 : x
  2. Step 2: Convert to fraction form
    2,176.34/3,265.42 = 943.52/x
  3. Step 3: Cross multiply
    2,176.34x = 3,265.42 × 943.52
  4. Step 4: Simplify right side
    2,176.34x = 3,080,989.08
  5. Step 5: Solve for x
    x = 3,080,989.08/2,176.34
  6. Step 6: Final answer
    x = 1,415.67

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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.