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Finding the Fourth Proportional to 2,380.26, 3,570.26 and 648.75

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Solution

The fourth proportional to 2,380.26, 3,570.26 and 648.75 is: 973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.26 : 3,570.26 = 648.75 : x
  2. Step 2: Convert to fraction form
    2,380.26/3,570.26 = 648.75/x
  3. Step 3: Cross multiply
    2,380.26x = 3,570.26 × 648.75
  4. Step 4: Simplify right side
    2,380.26x = 2,316,202.93
  5. Step 5: Solve for x
    x = 2,316,202.93/2,380.26
  6. Step 6: Final answer
    x = 973.09

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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.