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Finding the Fourth Proportional to 3,243.40, 4,863.64 and 934.36

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Solution

The fourth proportional to 3,243.40, 4,863.64 and 934.36 is: 1,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.40 : 4,863.64 = 934.36 : x
  2. Step 2: Convert to fraction form
    3,243.40/4,863.64 = 934.36/x
  3. Step 3: Cross multiply
    3,243.40x = 4,863.64 × 934.36
  4. Step 4: Simplify right side
    3,243.40x = 4,544,390.67
  5. Step 5: Solve for x
    x = 4,544,390.67/3,243.40
  6. Step 6: Final answer
    x = 1,401.12

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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.