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Finding the Fourth Proportional to 1,741, 2,394.90 and 1,669.96

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Solution

The fourth proportional to 1,741, 2,394.90 and 1,669.96 is: 2,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741 : 2,394.90 = 1,669.96 : x
  2. Step 2: Convert to fraction form
    1,741/2,394.90 = 1,669.96/x
  3. Step 3: Cross multiply
    1,741x = 2,394.90 × 1,669.96
  4. Step 4: Simplify right side
    1,741x = 3,999,387.20
  5. Step 5: Solve for x
    x = 3,999,387.20/1,741
  6. Step 6: Final answer
    x = 2,297.18

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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.