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Finding the Fourth Proportional to 2,646.75, 3,970.22 and 797.93

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Solution

The fourth proportional to 2,646.75, 3,970.22 and 797.93 is: 1,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.75 : 3,970.22 = 797.93 : x
  2. Step 2: Convert to fraction form
    2,646.75/3,970.22 = 797.93/x
  3. Step 3: Cross multiply
    2,646.75x = 3,970.22 × 797.93
  4. Step 4: Simplify right side
    2,646.75x = 3,167,933.80
  5. Step 5: Solve for x
    x = 3,167,933.80/2,646.75
  6. Step 6: Final answer
    x = 1,196.91

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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.