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Finding the Fourth Proportional to 2,852.67, 4,274.85 and 1,390.17

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Solution

The fourth proportional to 2,852.67, 4,274.85 and 1,390.17 is: 2,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.67 : 4,274.85 = 1,390.17 : x
  2. Step 2: Convert to fraction form
    2,852.67/4,274.85 = 1,390.17/x
  3. Step 3: Cross multiply
    2,852.67x = 4,274.85 × 1,390.17
  4. Step 4: Simplify right side
    2,852.67x = 5,942,768.22
  5. Step 5: Solve for x
    x = 5,942,768.22/2,852.67
  6. Step 6: Final answer
    x = 2,083.23

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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.