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Finding the Fourth Proportional to 2,620.49, 3,617.78 and 1,737.50

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Solution

The fourth proportional to 2,620.49, 3,617.78 and 1,737.50 is: 2,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.49 : 3,617.78 = 1,737.50 : x
  2. Step 2: Convert to fraction form
    2,620.49/3,617.78 = 1,737.50/x
  3. Step 3: Cross multiply
    2,620.49x = 3,617.78 × 1,737.50
  4. Step 4: Simplify right side
    2,620.49x = 6,285,865.97
  5. Step 5: Solve for x
    x = 6,285,865.97/2,620.49
  6. Step 6: Final answer
    x = 2,398.74

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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.