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Finding the Fourth Proportional to 2,752.39, 4,129.26 and 1,289.83

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Solution

The fourth proportional to 2,752.39, 4,129.26 and 1,289.83 is: 1,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.39 : 4,129.26 = 1,289.83 : x
  2. Step 2: Convert to fraction form
    2,752.39/4,129.26 = 1,289.83/x
  3. Step 3: Cross multiply
    2,752.39x = 4,129.26 × 1,289.83
  4. Step 4: Simplify right side
    2,752.39x = 5,326,043.43
  5. Step 5: Solve for x
    x = 5,326,043.43/2,752.39
  6. Step 6: Final answer
    x = 1,935.06

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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.