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Finding the Fourth Proportional to 1,755.90, 2,621.39 and 1,561.50

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Solution

The fourth proportional to 1,755.90, 2,621.39 and 1,561.50 is: 2,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.90 : 2,621.39 = 1,561.50 : x
  2. Step 2: Convert to fraction form
    1,755.90/2,621.39 = 1,561.50/x
  3. Step 3: Cross multiply
    1,755.90x = 2,621.39 × 1,561.50
  4. Step 4: Simplify right side
    1,755.90x = 4,093,292.68
  5. Step 5: Solve for x
    x = 4,093,292.68/1,755.90
  6. Step 6: Final answer
    x = 2,331.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.