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Finding the Fourth Proportional to 2,503.94, 3,752.67 and 1,204.70

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Solution

The fourth proportional to 2,503.94, 3,752.67 and 1,204.70 is: 1,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.94 : 3,752.67 = 1,204.70 : x
  2. Step 2: Convert to fraction form
    2,503.94/3,752.67 = 1,204.70/x
  3. Step 3: Cross multiply
    2,503.94x = 3,752.67 × 1,204.70
  4. Step 4: Simplify right side
    2,503.94x = 4,520,841.55
  5. Step 5: Solve for x
    x = 4,520,841.55/2,503.94
  6. Step 6: Final answer
    x = 1,805.49

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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.