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Finding the Fourth Proportional to 3,196.86, 4,797.34 and 1,552.51

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Solution

The fourth proportional to 3,196.86, 4,797.34 and 1,552.51 is: 2,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.86 : 4,797.34 = 1,552.51 : x
  2. Step 2: Convert to fraction form
    3,196.86/4,797.34 = 1,552.51/x
  3. Step 3: Cross multiply
    3,196.86x = 4,797.34 × 1,552.51
  4. Step 4: Simplify right side
    3,196.86x = 7,447,918.32
  5. Step 5: Solve for x
    x = 7,447,918.32/3,196.86
  6. Step 6: Final answer
    x = 2,329.76

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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.