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Finding the Fourth Proportional to 2,503.36, 3,748.56 and 1,725.76

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Solution

The fourth proportional to 2,503.36, 3,748.56 and 1,725.76 is: 2,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.36 : 3,748.56 = 1,725.76 : x
  2. Step 2: Convert to fraction form
    2,503.36/3,748.56 = 1,725.76/x
  3. Step 3: Cross multiply
    2,503.36x = 3,748.56 × 1,725.76
  4. Step 4: Simplify right side
    2,503.36x = 6,469,114.91
  5. Step 5: Solve for x
    x = 6,469,114.91/2,503.36
  6. Step 6: Final answer
    x = 2,584.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.