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Finding the Fourth Proportional to 2,304.82, 3,158.50 and 2,083.40

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Solution

The fourth proportional to 2,304.82, 3,158.50 and 2,083.40 is: 2,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.82 : 3,158.50 = 2,083.40 : x
  2. Step 2: Convert to fraction form
    2,304.82/3,158.50 = 2,083.40/x
  3. Step 3: Cross multiply
    2,304.82x = 3,158.50 × 2,083.40
  4. Step 4: Simplify right side
    2,304.82x = 6,580,418.90
  5. Step 5: Solve for x
    x = 6,580,418.90/2,304.82
  6. Step 6: Final answer
    x = 2,855.07

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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.