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Finding the Fourth Proportional to 2,647.13, 3,652.20 and 1,763.07

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Solution

The fourth proportional to 2,647.13, 3,652.20 and 1,763.07 is: 2,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.13 : 3,652.20 = 1,763.07 : x
  2. Step 2: Convert to fraction form
    2,647.13/3,652.20 = 1,763.07/x
  3. Step 3: Cross multiply
    2,647.13x = 3,652.20 × 1,763.07
  4. Step 4: Simplify right side
    2,647.13x = 6,439,084.25
  5. Step 5: Solve for x
    x = 6,439,084.25/2,647.13
  6. Step 6: Final answer
    x = 2,432.48

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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.