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Finding the Fourth Proportional to 3,041.97, 4,197.84 and 1,715.67

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Solution

The fourth proportional to 3,041.97, 4,197.84 and 1,715.67 is: 2,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.97 : 4,197.84 = 1,715.67 : x
  2. Step 2: Convert to fraction form
    3,041.97/4,197.84 = 1,715.67/x
  3. Step 3: Cross multiply
    3,041.97x = 4,197.84 × 1,715.67
  4. Step 4: Simplify right side
    3,041.97x = 7,202,108.15
  5. Step 5: Solve for x
    x = 7,202,108.15/3,041.97
  6. Step 6: Final answer
    x = 2,367.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.