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Finding the Fourth Proportional to 2,145.64, 3,218.41 and 684.77

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Solution

The fourth proportional to 2,145.64, 3,218.41 and 684.77 is: 1,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.64 : 3,218.41 = 684.77 : x
  2. Step 2: Convert to fraction form
    2,145.64/3,218.41 = 684.77/x
  3. Step 3: Cross multiply
    2,145.64x = 3,218.41 × 684.77
  4. Step 4: Simplify right side
    2,145.64x = 2,203,870.62
  5. Step 5: Solve for x
    x = 2,203,870.62/2,145.64
  6. Step 6: Final answer
    x = 1,027.14

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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.