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Finding the Fourth Proportional to 2,366.00, 3,549.60 and 905.36

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Solution

The fourth proportional to 2,366.00, 3,549.60 and 905.36 is: 1,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.00 : 3,549.60 = 905.36 : x
  2. Step 2: Convert to fraction form
    2,366.00/3,549.60 = 905.36/x
  3. Step 3: Cross multiply
    2,366.00x = 3,549.60 × 905.36
  4. Step 4: Simplify right side
    2,366.00x = 3,213,674.73
  5. Step 5: Solve for x
    x = 3,213,674.73/2,366.00
  6. Step 6: Final answer
    x = 1,358.28

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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.