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Finding the Fourth Proportional to 2,256, 3,111.39 and 1,725.63

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Solution

The fourth proportional to 2,256, 3,111.39 and 1,725.63 is: 2,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256 : 3,111.39 = 1,725.63 : x
  2. Step 2: Convert to fraction form
    2,256/3,111.39 = 1,725.63/x
  3. Step 3: Cross multiply
    2,256x = 3,111.39 × 1,725.63
  4. Step 4: Simplify right side
    2,256x = 5,369,107.93
  5. Step 5: Solve for x
    x = 5,369,107.93/2,256
  6. Step 6: Final answer
    x = 2,379.92

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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.