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Finding the Fourth Proportional to 2,317.01, 3,472.94 and 1,274.67

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Solution

The fourth proportional to 2,317.01, 3,472.94 and 1,274.67 is: 1,910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.01 : 3,472.94 = 1,274.67 : x
  2. Step 2: Convert to fraction form
    2,317.01/3,472.94 = 1,274.67/x
  3. Step 3: Cross multiply
    2,317.01x = 3,472.94 × 1,274.67
  4. Step 4: Simplify right side
    2,317.01x = 4,426,855.62
  5. Step 5: Solve for x
    x = 4,426,855.62/2,317.01
  6. Step 6: Final answer
    x = 1,910.59

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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.