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Finding the Fourth Proportional to 2,789.27, 3,849.12 and 1,530.32

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Solution

The fourth proportional to 2,789.27, 3,849.12 and 1,530.32 is: 2,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.27 : 3,849.12 = 1,530.32 : x
  2. Step 2: Convert to fraction form
    2,789.27/3,849.12 = 1,530.32/x
  3. Step 3: Cross multiply
    2,789.27x = 3,849.12 × 1,530.32
  4. Step 4: Simplify right side
    2,789.27x = 5,890,366.07
  5. Step 5: Solve for x
    x = 5,890,366.07/2,789.27
  6. Step 6: Final answer
    x = 2,111.80

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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.