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Finding the Fourth Proportional to 2,862.40, 3,920.52 and 2,694.28

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Solution

The fourth proportional to 2,862.40, 3,920.52 and 2,694.28 is: 3,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.40 : 3,920.52 = 2,694.28 : x
  2. Step 2: Convert to fraction form
    2,862.40/3,920.52 = 2,694.28/x
  3. Step 3: Cross multiply
    2,862.40x = 3,920.52 × 2,694.28
  4. Step 4: Simplify right side
    2,862.40x = 10,562,978.63
  5. Step 5: Solve for x
    x = 10,562,978.63/2,862.40
  6. Step 6: Final answer
    x = 3,690.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.