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Finding the Fourth Proportional to 2,090, 3,135.48 and 722

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Solution

The fourth proportional to 2,090, 3,135.48 and 722 is: 1,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090 : 3,135.48 = 722 : x
  2. Step 2: Convert to fraction form
    2,090/3,135.48 = 722/x
  3. Step 3: Cross multiply
    2,090x = 3,135.48 × 722
  4. Step 4: Simplify right side
    2,090x = 2,263,816.56
  5. Step 5: Solve for x
    x = 2,263,816.56/2,090
  6. Step 6: Final answer
    x = 1,083.17

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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.