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Finding the Fourth Proportional to 2,139.72, 2,953.67 and 1,394.31

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Solution

The fourth proportional to 2,139.72, 2,953.67 and 1,394.31 is: 1,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.72 : 2,953.67 = 1,394.31 : x
  2. Step 2: Convert to fraction form
    2,139.72/2,953.67 = 1,394.31/x
  3. Step 3: Cross multiply
    2,139.72x = 2,953.67 × 1,394.31
  4. Step 4: Simplify right side
    2,139.72x = 4,118,335.72
  5. Step 5: Solve for x
    x = 4,118,335.72/2,139.72
  6. Step 6: Final answer
    x = 1,924.71

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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.