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Finding the Fourth Proportional to 2,303.55, 3,178.92 and 1,255.61

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Solution

The fourth proportional to 2,303.55, 3,178.92 and 1,255.61 is: 1,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.55 : 3,178.92 = 1,255.61 : x
  2. Step 2: Convert to fraction form
    2,303.55/3,178.92 = 1,255.61/x
  3. Step 3: Cross multiply
    2,303.55x = 3,178.92 × 1,255.61
  4. Step 4: Simplify right side
    2,303.55x = 3,991,461.57
  5. Step 5: Solve for x
    x = 3,991,461.57/2,303.55
  6. Step 6: Final answer
    x = 1,732.75

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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.