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Finding the Fourth Proportional to 1,755.69, 2,424.51 and 1,520.25

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Solution

The fourth proportional to 1,755.69, 2,424.51 and 1,520.25 is: 2,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.69 : 2,424.51 = 1,520.25 : x
  2. Step 2: Convert to fraction form
    1,755.69/2,424.51 = 1,520.25/x
  3. Step 3: Cross multiply
    1,755.69x = 2,424.51 × 1,520.25
  4. Step 4: Simplify right side
    1,755.69x = 3,685,861.33
  5. Step 5: Solve for x
    x = 3,685,861.33/1,755.69
  6. Step 6: Final answer
    x = 2,099.38

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1.5x scale

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.