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Finding the Fourth Proportional to 1,912.59, 2,640.51 and 1,354.23

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Solution

The fourth proportional to 1,912.59, 2,640.51 and 1,354.23 is: 1,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.59 : 2,640.51 = 1,354.23 : x
  2. Step 2: Convert to fraction form
    1,912.59/2,640.51 = 1,354.23/x
  3. Step 3: Cross multiply
    1,912.59x = 2,640.51 × 1,354.23
  4. Step 4: Simplify right side
    1,912.59x = 3,575,857.86
  5. Step 5: Solve for x
    x = 3,575,857.86/1,912.59
  6. Step 6: Final answer
    x = 1,869.64

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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.