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Finding the Fourth Proportional to 2,676.54, 3,693.78 and 1,497.60

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Solution

The fourth proportional to 2,676.54, 3,693.78 and 1,497.60 is: 2,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.54 : 3,693.78 = 1,497.60 : x
  2. Step 2: Convert to fraction form
    2,676.54/3,693.78 = 1,497.60/x
  3. Step 3: Cross multiply
    2,676.54x = 3,693.78 × 1,497.60
  4. Step 4: Simplify right side
    2,676.54x = 5,531,804.93
  5. Step 5: Solve for x
    x = 5,531,804.93/2,676.54
  6. Step 6: Final answer
    x = 2,066.77

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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.