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Finding the Fourth Proportional to 2,303.35, 3,178.64 and 1,255.41

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Solution

The fourth proportional to 2,303.35, 3,178.64 and 1,255.41 is: 1,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.35 : 3,178.64 = 1,255.41 : x
  2. Step 2: Convert to fraction form
    2,303.35/3,178.64 = 1,255.41/x
  3. Step 3: Cross multiply
    2,303.35x = 3,178.64 × 1,255.41
  4. Step 4: Simplify right side
    2,303.35x = 3,990,496.44
  5. Step 5: Solve for x
    x = 3,990,496.44/2,303.35
  6. Step 6: Final answer
    x = 1,732.48

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