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Finding the Fourth Proportional to 1,617.96, 2,420.40 and 1,371.72

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Solution

The fourth proportional to 1,617.96, 2,420.40 and 1,371.72 is: 2,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.96 : 2,420.40 = 1,371.72 : x
  2. Step 2: Convert to fraction form
    1,617.96/2,420.40 = 1,371.72/x
  3. Step 3: Cross multiply
    1,617.96x = 2,420.40 × 1,371.72
  4. Step 4: Simplify right side
    1,617.96x = 3,320,111.09
  5. Step 5: Solve for x
    x = 3,320,111.09/1,617.96
  6. Step 6: Final answer
    x = 2,052.04

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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.