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Finding the Fourth Proportional to 2,459.56, 3,682.98 and 1,362.64

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Solution

The fourth proportional to 2,459.56, 3,682.98 and 1,362.64 is: 2,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.56 : 3,682.98 = 1,362.64 : x
  2. Step 2: Convert to fraction form
    2,459.56/3,682.98 = 1,362.64/x
  3. Step 3: Cross multiply
    2,459.56x = 3,682.98 × 1,362.64
  4. Step 4: Simplify right side
    2,459.56x = 5,018,575.87
  5. Step 5: Solve for x
    x = 5,018,575.87/2,459.56
  6. Step 6: Final answer
    x = 2,040.44

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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.