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Finding the Fourth Proportional to 1,721.29, 2,581.93 and 488.71

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Solution

The fourth proportional to 1,721.29, 2,581.93 and 488.71 is: 733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.29 : 2,581.93 = 488.71 : x
  2. Step 2: Convert to fraction form
    1,721.29/2,581.93 = 488.71/x
  3. Step 3: Cross multiply
    1,721.29x = 2,581.93 × 488.71
  4. Step 4: Simplify right side
    1,721.29x = 1,261,807.33
  5. Step 5: Solve for x
    x = 1,261,807.33/1,721.29
  6. Step 6: Final answer
    x = 733.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.