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Finding the Fourth Proportional to 2,057.86, 3,086.65 and 962.47

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Solution

The fourth proportional to 2,057.86, 3,086.65 and 962.47 is: 1,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.86 : 3,086.65 = 962.47 : x
  2. Step 2: Convert to fraction form
    2,057.86/3,086.65 = 962.47/x
  3. Step 3: Cross multiply
    2,057.86x = 3,086.65 × 962.47
  4. Step 4: Simplify right side
    2,057.86x = 2,970,808.03
  5. Step 5: Solve for x
    x = 2,970,808.03/2,057.86
  6. Step 6: Final answer
    x = 1,443.64

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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.