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Finding the Fourth Proportional to 2,125.53, 2,933.51 and 1,194.21

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Solution

The fourth proportional to 2,125.53, 2,933.51 and 1,194.21 is: 1,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.53 : 2,933.51 = 1,194.21 : x
  2. Step 2: Convert to fraction form
    2,125.53/2,933.51 = 1,194.21/x
  3. Step 3: Cross multiply
    2,125.53x = 2,933.51 × 1,194.21
  4. Step 4: Simplify right side
    2,125.53x = 3,503,221.01
  5. Step 5: Solve for x
    x = 3,503,221.01/2,125.53
  6. Step 6: Final answer
    x = 1,648.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.