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Finding the Fourth Proportional to 2,378.68, 3,282.62 and 1,384

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Solution

The fourth proportional to 2,378.68, 3,282.62 and 1,384 is: 1,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.68 : 3,282.62 = 1,384 : x
  2. Step 2: Convert to fraction form
    2,378.68/3,282.62 = 1,384/x
  3. Step 3: Cross multiply
    2,378.68x = 3,282.62 × 1,384
  4. Step 4: Simplify right side
    2,378.68x = 4,543,146.08
  5. Step 5: Solve for x
    x = 4,543,146.08/2,378.68
  6. Step 6: Final answer
    x = 1,909.94

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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.