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Finding the Fourth Proportional to 2,117.97, 3,175.88 and 1,240.67

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Solution

The fourth proportional to 2,117.97, 3,175.88 and 1,240.67 is: 1,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.97 : 3,175.88 = 1,240.67 : x
  2. Step 2: Convert to fraction form
    2,117.97/3,175.88 = 1,240.67/x
  3. Step 3: Cross multiply
    2,117.97x = 3,175.88 × 1,240.67
  4. Step 4: Simplify right side
    2,117.97x = 3,940,205.53
  5. Step 5: Solve for x
    x = 3,940,205.53/2,117.97
  6. Step 6: Final answer
    x = 1,860.37

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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.