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Finding the Fourth Proportional to 2,483.93, 3,725.89 and 635.05

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Solution

The fourth proportional to 2,483.93, 3,725.89 and 635.05 is: 952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.93 : 3,725.89 = 635.05 : x
  2. Step 2: Convert to fraction form
    2,483.93/3,725.89 = 635.05/x
  3. Step 3: Cross multiply
    2,483.93x = 3,725.89 × 635.05
  4. Step 4: Simplify right side
    2,483.93x = 2,366,126.44
  5. Step 5: Solve for x
    x = 2,366,126.44/2,483.93
  6. Step 6: Final answer
    x = 952.57

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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.