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Finding the Fourth Proportional to 2,688.40, 4,032.60 and 1,813.60

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Solution

The fourth proportional to 2,688.40, 4,032.60 and 1,813.60 is: 2,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.40 : 4,032.60 = 1,813.60 : x
  2. Step 2: Convert to fraction form
    2,688.40/4,032.60 = 1,813.60/x
  3. Step 3: Cross multiply
    2,688.40x = 4,032.60 × 1,813.60
  4. Step 4: Simplify right side
    2,688.40x = 7,313,523.36
  5. Step 5: Solve for x
    x = 7,313,523.36/2,688.40
  6. Step 6: Final answer
    x = 2,720.40

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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.