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Finding the Fourth Proportional to 2,303.49, 3,178.80 and 1,255.56

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Solution

The fourth proportional to 2,303.49, 3,178.80 and 1,255.56 is: 1,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.49 : 3,178.80 = 1,255.56 : x
  2. Step 2: Convert to fraction form
    2,303.49/3,178.80 = 1,255.56/x
  3. Step 3: Cross multiply
    2,303.49x = 3,178.80 × 1,255.56
  4. Step 4: Simplify right side
    2,303.49x = 3,991,174.13
  5. Step 5: Solve for x
    x = 3,991,174.13/2,303.49
  6. Step 6: Final answer
    x = 1,732.66

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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.