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Finding the Fourth Proportional to 2,638.94, 3,641.43 and 1,520.25

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Solution

The fourth proportional to 2,638.94, 3,641.43 and 1,520.25 is: 2,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.94 : 3,641.43 = 1,520.25 : x
  2. Step 2: Convert to fraction form
    2,638.94/3,641.43 = 1,520.25/x
  3. Step 3: Cross multiply
    2,638.94x = 3,641.43 × 1,520.25
  4. Step 4: Simplify right side
    2,638.94x = 5,535,883.96
  5. Step 5: Solve for x
    x = 5,535,883.96/2,638.94
  6. Step 6: Final answer
    x = 2,097.77

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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.