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Finding the Fourth Proportional to 2,379.68, 3,282.38 and 1,434.84

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Solution

The fourth proportional to 2,379.68, 3,282.38 and 1,434.84 is: 1,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.68 : 3,282.38 = 1,434.84 : x
  2. Step 2: Convert to fraction form
    2,379.68/3,282.38 = 1,434.84/x
  3. Step 3: Cross multiply
    2,379.68x = 3,282.38 × 1,434.84
  4. Step 4: Simplify right side
    2,379.68x = 4,709,690.12
  5. Step 5: Solve for x
    x = 4,709,690.12/2,379.68
  6. Step 6: Final answer
    x = 1,979.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.