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Finding the Fourth Proportional to 2,428.64, 3,355.64 and 2,366.40

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Solution

The fourth proportional to 2,428.64, 3,355.64 and 2,366.40 is: 3,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.64 : 3,355.64 = 2,366.40 : x
  2. Step 2: Convert to fraction form
    2,428.64/3,355.64 = 2,366.40/x
  3. Step 3: Cross multiply
    2,428.64x = 3,355.64 × 2,366.40
  4. Step 4: Simplify right side
    2,428.64x = 7,940,786.50
  5. Step 5: Solve for x
    x = 7,940,786.50/2,428.64
  6. Step 6: Final answer
    x = 3,269.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.