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Finding the Fourth Proportional to 2,459.82, 3,690.39 and 728.45

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Solution

The fourth proportional to 2,459.82, 3,690.39 and 728.45 is: 1,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.82 : 3,690.39 = 728.45 : x
  2. Step 2: Convert to fraction form
    2,459.82/3,690.39 = 728.45/x
  3. Step 3: Cross multiply
    2,459.82x = 3,690.39 × 728.45
  4. Step 4: Simplify right side
    2,459.82x = 2,688,246.14
  5. Step 5: Solve for x
    x = 2,688,246.14/2,459.82
  6. Step 6: Final answer
    x = 1,092.86

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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.