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Finding the Fourth Proportional to 1,757.61, 2,408.31 and 1,741.41

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Solution

The fourth proportional to 1,757.61, 2,408.31 and 1,741.41 is: 2,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.61 : 2,408.31 = 1,741.41 : x
  2. Step 2: Convert to fraction form
    1,757.61/2,408.31 = 1,741.41/x
  3. Step 3: Cross multiply
    1,757.61x = 2,408.31 × 1,741.41
  4. Step 4: Simplify right side
    1,757.61x = 4,193,855.12
  5. Step 5: Solve for x
    x = 4,193,855.12/1,757.61
  6. Step 6: Final answer
    x = 2,386.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.