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Finding the Fourth Proportional to 2,287.60, 3,160.56 and 2,112.64

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Solution

The fourth proportional to 2,287.60, 3,160.56 and 2,112.64 is: 2,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.60 : 3,160.56 = 2,112.64 : x
  2. Step 2: Convert to fraction form
    2,287.60/3,160.56 = 2,112.64/x
  3. Step 3: Cross multiply
    2,287.60x = 3,160.56 × 2,112.64
  4. Step 4: Simplify right side
    2,287.60x = 6,677,125.48
  5. Step 5: Solve for x
    x = 6,677,125.48/2,287.60
  6. Step 6: Final answer
    x = 2,918.83

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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.