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Finding the Fourth Proportional to 2,757.18, 3,805.50 and 1,762.32

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Solution

The fourth proportional to 2,757.18, 3,805.50 and 1,762.32 is: 2,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.18 : 3,805.50 = 1,762.32 : x
  2. Step 2: Convert to fraction form
    2,757.18/3,805.50 = 1,762.32/x
  3. Step 3: Cross multiply
    2,757.18x = 3,805.50 × 1,762.32
  4. Step 4: Simplify right side
    2,757.18x = 6,706,508.76
  5. Step 5: Solve for x
    x = 6,706,508.76/2,757.18
  6. Step 6: Final answer
    x = 2,432.38

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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.