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Finding the Fourth Proportional to 2,303.25, 3,178.49 and 1,255.32

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Solution

The fourth proportional to 2,303.25, 3,178.49 and 1,255.32 is: 1,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.25 : 3,178.49 = 1,255.32 : x
  2. Step 2: Convert to fraction form
    2,303.25/3,178.49 = 1,255.32/x
  3. Step 3: Cross multiply
    2,303.25x = 3,178.49 × 1,255.32
  4. Step 4: Simplify right side
    2,303.25x = 3,990,015.79
  5. Step 5: Solve for x
    x = 3,990,015.79/2,303.25
  6. Step 6: Final answer
    x = 1,732.34

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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.