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Finding the Fourth Proportional to 2,145.76, 3,218.94 and 684.59

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Solution

The fourth proportional to 2,145.76, 3,218.94 and 684.59 is: 1,026.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.76 : 3,218.94 = 684.59 : x
  2. Step 2: Convert to fraction form
    2,145.76/3,218.94 = 684.59/x
  3. Step 3: Cross multiply
    2,145.76x = 3,218.94 × 684.59
  4. Step 4: Simplify right side
    2,145.76x = 2,203,638.04
  5. Step 5: Solve for x
    x = 2,203,638.04/2,145.76
  6. Step 6: Final answer
    x = 1,026.97

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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.