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Finding the Fourth Proportional to 3,177.39, 4,764.97 and 955.56

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Solution

The fourth proportional to 3,177.39, 4,764.97 and 955.56 is: 1,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.39 : 4,764.97 = 955.56 : x
  2. Step 2: Convert to fraction form
    3,177.39/4,764.97 = 955.56/x
  3. Step 3: Cross multiply
    3,177.39x = 4,764.97 × 955.56
  4. Step 4: Simplify right side
    3,177.39x = 4,553,214.73
  5. Step 5: Solve for x
    x = 4,553,214.73/3,177.39
  6. Step 6: Final answer
    x = 1,433.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.