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Finding the Fourth Proportional to 2,646.30, 3,968.37 and 914.70

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Solution

The fourth proportional to 2,646.30, 3,968.37 and 914.70 is: 1,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.30 : 3,968.37 = 914.70 : x
  2. Step 2: Convert to fraction form
    2,646.30/3,968.37 = 914.70/x
  3. Step 3: Cross multiply
    2,646.30x = 3,968.37 × 914.70
  4. Step 4: Simplify right side
    2,646.30x = 3,629,868.04
  5. Step 5: Solve for x
    x = 3,629,868.04/2,646.30
  6. Step 6: Final answer
    x = 1,371.68

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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.