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Finding the Fourth Proportional to 2,337.34, 3,500.49 and 1,295.82

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Solution

The fourth proportional to 2,337.34, 3,500.49 and 1,295.82 is: 1,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.34 : 3,500.49 = 1,295.82 : x
  2. Step 2: Convert to fraction form
    2,337.34/3,500.49 = 1,295.82/x
  3. Step 3: Cross multiply
    2,337.34x = 3,500.49 × 1,295.82
  4. Step 4: Simplify right side
    2,337.34x = 4,536,004.95
  5. Step 5: Solve for x
    x = 4,536,004.95/2,337.34
  6. Step 6: Final answer
    x = 1,940.67

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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.