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Finding the Fourth Proportional to 1,982.61, 2,973.51 and 684.45

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Solution

The fourth proportional to 1,982.61, 2,973.51 and 684.45 is: 1,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.61 : 2,973.51 = 684.45 : x
  2. Step 2: Convert to fraction form
    1,982.61/2,973.51 = 684.45/x
  3. Step 3: Cross multiply
    1,982.61x = 2,973.51 × 684.45
  4. Step 4: Simplify right side
    1,982.61x = 2,035,218.92
  5. Step 5: Solve for x
    x = 2,035,218.92/1,982.61
  6. Step 6: Final answer
    x = 1,026.54

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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.