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Finding the Fourth Proportional to 1,546.86, 2,320.90 and 680.57

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Solution

The fourth proportional to 1,546.86, 2,320.90 and 680.57 is: 1,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.86 : 2,320.90 = 680.57 : x
  2. Step 2: Convert to fraction form
    1,546.86/2,320.90 = 680.57/x
  3. Step 3: Cross multiply
    1,546.86x = 2,320.90 × 680.57
  4. Step 4: Simplify right side
    1,546.86x = 1,579,519.91
  5. Step 5: Solve for x
    x = 1,579,519.91/1,546.86
  6. Step 6: Final answer
    x = 1,021.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.