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Finding the Fourth Proportional to 2,725.60, 4,088.44 and 673.60

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Solution

The fourth proportional to 2,725.60, 4,088.44 and 673.60 is: 1,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.60 : 4,088.44 = 673.60 : x
  2. Step 2: Convert to fraction form
    2,725.60/4,088.44 = 673.60/x
  3. Step 3: Cross multiply
    2,725.60x = 4,088.44 × 673.60
  4. Step 4: Simplify right side
    2,725.60x = 2,753,973.18
  5. Step 5: Solve for x
    x = 2,753,973.18/2,725.60
  6. Step 6: Final answer
    x = 1,010.41

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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.