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Finding the Fourth Proportional to 2,506.08, 3,456.24 and 1,720.08

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Solution

The fourth proportional to 2,506.08, 3,456.24 and 1,720.08 is: 2,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.08 : 3,456.24 = 1,720.08 : x
  2. Step 2: Convert to fraction form
    2,506.08/3,456.24 = 1,720.08/x
  3. Step 3: Cross multiply
    2,506.08x = 3,456.24 × 1,720.08
  4. Step 4: Simplify right side
    2,506.08x = 5,945,009.30
  5. Step 5: Solve for x
    x = 5,945,009.30/2,506.08
  6. Step 6: Final answer
    x = 2,372.23

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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.