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Finding the Fourth Proportional to 2,501.26, 3,751.89 and 652.37

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Solution

The fourth proportional to 2,501.26, 3,751.89 and 652.37 is: 978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.26 : 3,751.89 = 652.37 : x
  2. Step 2: Convert to fraction form
    2,501.26/3,751.89 = 652.37/x
  3. Step 3: Cross multiply
    2,501.26x = 3,751.89 × 652.37
  4. Step 4: Simplify right side
    2,501.26x = 2,447,620.48
  5. Step 5: Solve for x
    x = 2,447,620.48/2,501.26
  6. Step 6: Final answer
    x = 978.56

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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.