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Finding the Fourth Proportional to 2,546.59, 3,819.48 and 697.84

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Solution

The fourth proportional to 2,546.59, 3,819.48 and 697.84 is: 1,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.59 : 3,819.48 = 697.84 : x
  2. Step 2: Convert to fraction form
    2,546.59/3,819.48 = 697.84/x
  3. Step 3: Cross multiply
    2,546.59x = 3,819.48 × 697.84
  4. Step 4: Simplify right side
    2,546.59x = 2,665,386.46
  5. Step 5: Solve for x
    x = 2,665,386.46/2,546.59
  6. Step 6: Final answer
    x = 1,046.65

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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.