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Finding the Fourth Proportional to 1,721.18, 2,581.81 and 488.60

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Solution

The fourth proportional to 1,721.18, 2,581.81 and 488.60 is: 732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.18 : 2,581.81 = 488.60 : x
  2. Step 2: Convert to fraction form
    1,721.18/2,581.81 = 488.60/x
  3. Step 3: Cross multiply
    1,721.18x = 2,581.81 × 488.60
  4. Step 4: Simplify right side
    1,721.18x = 1,261,467.92
  5. Step 5: Solve for x
    x = 1,261,467.92/1,721.18
  6. Step 6: Final answer
    x = 732.91

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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.