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Finding the Fourth Proportional to 3,152.50, 4,350.60 and 1,755.26

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Solution

The fourth proportional to 3,152.50, 4,350.60 and 1,755.26 is: 2,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.50 : 4,350.60 = 1,755.26 : x
  2. Step 2: Convert to fraction form
    3,152.50/4,350.60 = 1,755.26/x
  3. Step 3: Cross multiply
    3,152.50x = 4,350.60 × 1,755.26
  4. Step 4: Simplify right side
    3,152.50x = 7,636,434.16
  5. Step 5: Solve for x
    x = 7,636,434.16/3,152.50
  6. Step 6: Final answer
    x = 2,422.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.