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Finding the Fourth Proportional to 2,552.94, 3,830.63 and 1,320.12

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Solution

The fourth proportional to 2,552.94, 3,830.63 and 1,320.12 is: 1,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.94 : 3,830.63 = 1,320.12 : x
  2. Step 2: Convert to fraction form
    2,552.94/3,830.63 = 1,320.12/x
  3. Step 3: Cross multiply
    2,552.94x = 3,830.63 × 1,320.12
  4. Step 4: Simplify right side
    2,552.94x = 5,056,884.68
  5. Step 5: Solve for x
    x = 5,056,884.68/2,552.94
  6. Step 6: Final answer
    x = 1,980.81

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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.