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Finding the Fourth Proportional to 2,050.37, 3,077.72 and 955.79

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Solution

The fourth proportional to 2,050.37, 3,077.72 and 955.79 is: 1,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.37 : 3,077.72 = 955.79 : x
  2. Step 2: Convert to fraction form
    2,050.37/3,077.72 = 955.79/x
  3. Step 3: Cross multiply
    2,050.37x = 3,077.72 × 955.79
  4. Step 4: Simplify right side
    2,050.37x = 2,941,654.00
  5. Step 5: Solve for x
    x = 2,941,654.00/2,050.37
  6. Step 6: Final answer
    x = 1,434.69

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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.