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Finding the Fourth Proportional to 3,160.91, 4,362.06 and 1,744.57

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Solution

The fourth proportional to 3,160.91, 4,362.06 and 1,744.57 is: 2,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.91 : 4,362.06 = 1,744.57 : x
  2. Step 2: Convert to fraction form
    3,160.91/4,362.06 = 1,744.57/x
  3. Step 3: Cross multiply
    3,160.91x = 4,362.06 × 1,744.57
  4. Step 4: Simplify right side
    3,160.91x = 7,609,919.01
  5. Step 5: Solve for x
    x = 7,609,919.01/3,160.91
  6. Step 6: Final answer
    x = 2,407.51

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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.