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Finding the Fourth Proportional to 2,303.20, 3,178.24 and 1,255.24

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Solution

The fourth proportional to 2,303.20, 3,178.24 and 1,255.24 is: 1,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.20 : 3,178.24 = 1,255.24 : x
  2. Step 2: Convert to fraction form
    2,303.20/3,178.24 = 1,255.24/x
  3. Step 3: Cross multiply
    2,303.20x = 3,178.24 × 1,255.24
  4. Step 4: Simplify right side
    2,303.20x = 3,989,453.98
  5. Step 5: Solve for x
    x = 3,989,453.98/2,303.20
  6. Step 6: Final answer
    x = 1,732.14

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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.