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Finding the Fourth Proportional to 2,501.25, 3,752 and 652.37

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Solution

The fourth proportional to 2,501.25, 3,752 and 652.37 is: 978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.25 : 3,752 = 652.37 : x
  2. Step 2: Convert to fraction form
    2,501.25/3,752 = 652.37/x
  3. Step 3: Cross multiply
    2,501.25x = 3,752 × 652.37
  4. Step 4: Simplify right side
    2,501.25x = 2,447,692.24
  5. Step 5: Solve for x
    x = 2,447,692.24/2,501.25
  6. Step 6: Final answer
    x = 978.59

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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.