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Finding the Fourth Proportional to 2,772.88, 3,827.52 and 1,725.52

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Solution

The fourth proportional to 2,772.88, 3,827.52 and 1,725.52 is: 2,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.88 : 3,827.52 = 1,725.52 : x
  2. Step 2: Convert to fraction form
    2,772.88/3,827.52 = 1,725.52/x
  3. Step 3: Cross multiply
    2,772.88x = 3,827.52 × 1,725.52
  4. Step 4: Simplify right side
    2,772.88x = 6,604,462.31
  5. Step 5: Solve for x
    x = 6,604,462.31/2,772.88
  6. Step 6: Final answer
    x = 2,381.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.