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Finding the Fourth Proportional to 2,552.81, 3,830.24 and 1,730.61

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Solution

The fourth proportional to 2,552.81, 3,830.24 and 1,730.61 is: 2,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.81 : 3,830.24 = 1,730.61 : x
  2. Step 2: Convert to fraction form
    2,552.81/3,830.24 = 1,730.61/x
  3. Step 3: Cross multiply
    2,552.81x = 3,830.24 × 1,730.61
  4. Step 4: Simplify right side
    2,552.81x = 6,628,655.97
  5. Step 5: Solve for x
    x = 6,628,655.97/2,552.81
  6. Step 6: Final answer
    x = 2,596.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.