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Finding the Fourth Proportional to 2,647.12, 3,652.42 and 1,763.40

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Solution

The fourth proportional to 2,647.12, 3,652.42 and 1,763.40 is: 2,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.12 : 3,652.42 = 1,763.40 : x
  2. Step 2: Convert to fraction form
    2,647.12/3,652.42 = 1,763.40/x
  3. Step 3: Cross multiply
    2,647.12x = 3,652.42 × 1,763.40
  4. Step 4: Simplify right side
    2,647.12x = 6,440,677.43
  5. Step 5: Solve for x
    x = 6,440,677.43/2,647.12
  6. Step 6: Final answer
    x = 2,433.09

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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.