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Finding the Fourth Proportional to 2,628.56, 3,627.43 and 1,580.83

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Solution

The fourth proportional to 2,628.56, 3,627.43 and 1,580.83 is: 2,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.56 : 3,627.43 = 1,580.83 : x
  2. Step 2: Convert to fraction form
    2,628.56/3,627.43 = 1,580.83/x
  3. Step 3: Cross multiply
    2,628.56x = 3,627.43 × 1,580.83
  4. Step 4: Simplify right side
    2,628.56x = 5,734,337.15
  5. Step 5: Solve for x
    x = 5,734,337.15/2,628.56
  6. Step 6: Final answer
    x = 2,181.55

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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.