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Finding the Fourth Proportional to 1,672.72, 2,506.92 and 941.20

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Solution

The fourth proportional to 1,672.72, 2,506.92 and 941.20 is: 1,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.72 : 2,506.92 = 941.20 : x
  2. Step 2: Convert to fraction form
    1,672.72/2,506.92 = 941.20/x
  3. Step 3: Cross multiply
    1,672.72x = 2,506.92 × 941.20
  4. Step 4: Simplify right side
    1,672.72x = 2,359,513.10
  5. Step 5: Solve for x
    x = 2,359,513.10/1,672.72
  6. Step 6: Final answer
    x = 1,410.58

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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.