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Finding the Fourth Proportional to 2,303.27, 3,178.79 and 1,308.86

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Solution

The fourth proportional to 2,303.27, 3,178.79 and 1,308.86 is: 1,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.27 : 3,178.79 = 1,308.86 : x
  2. Step 2: Convert to fraction form
    2,303.27/3,178.79 = 1,308.86/x
  3. Step 3: Cross multiply
    2,303.27x = 3,178.79 × 1,308.86
  4. Step 4: Simplify right side
    2,303.27x = 4,160,591.08
  5. Step 5: Solve for x
    x = 4,160,591.08/2,303.27
  6. Step 6: Final answer
    x = 1,806.38

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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.