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Finding the Fourth Proportional to 2,405.38, 3,609.48 and 1,018.63

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Solution

The fourth proportional to 2,405.38, 3,609.48 and 1,018.63 is: 1,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.38 : 3,609.48 = 1,018.63 : x
  2. Step 2: Convert to fraction form
    2,405.38/3,609.48 = 1,018.63/x
  3. Step 3: Cross multiply
    2,405.38x = 3,609.48 × 1,018.63
  4. Step 4: Simplify right side
    2,405.38x = 3,676,724.61
  5. Step 5: Solve for x
    x = 3,676,724.61/2,405.38
  6. Step 6: Final answer
    x = 1,528.54

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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.