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Finding the Fourth Proportional to 2,628.89, 3,628.28 and 1,580.95

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Solution

The fourth proportional to 2,628.89, 3,628.28 and 1,580.95 is: 2,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.89 : 3,628.28 = 1,580.95 : x
  2. Step 2: Convert to fraction form
    2,628.89/3,628.28 = 1,580.95/x
  3. Step 3: Cross multiply
    2,628.89x = 3,628.28 × 1,580.95
  4. Step 4: Simplify right side
    2,628.89x = 5,736,103.22
  5. Step 5: Solve for x
    x = 5,736,103.22/2,628.89
  6. Step 6: Final answer
    x = 2,181.95

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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.