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Finding the Fourth Proportional to 2,433.18, 3,647.03 and 1,046.26

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Solution

The fourth proportional to 2,433.18, 3,647.03 and 1,046.26 is: 1,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.18 : 3,647.03 = 1,046.26 : x
  2. Step 2: Convert to fraction form
    2,433.18/3,647.03 = 1,046.26/x
  3. Step 3: Cross multiply
    2,433.18x = 3,647.03 × 1,046.26
  4. Step 4: Simplify right side
    2,433.18x = 3,815,735.11
  5. Step 5: Solve for x
    x = 3,815,735.11/2,433.18
  6. Step 6: Final answer
    x = 1,568.21

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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.