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Finding the Fourth Proportional to 1,982.92, 2,959.62 and 1,718.19

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Solution

The fourth proportional to 1,982.92, 2,959.62 and 1,718.19 is: 2,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.92 : 2,959.62 = 1,718.19 : x
  2. Step 2: Convert to fraction form
    1,982.92/2,959.62 = 1,718.19/x
  3. Step 3: Cross multiply
    1,982.92x = 2,959.62 × 1,718.19
  4. Step 4: Simplify right side
    1,982.92x = 5,085,189.49
  5. Step 5: Solve for x
    x = 5,085,189.49/1,982.92
  6. Step 6: Final answer
    x = 2,564.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.