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Finding the Fourth Proportional to 3,102.91, 4,653.86 and 1,022.83

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Solution

The fourth proportional to 3,102.91, 4,653.86 and 1,022.83 is: 1,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.91 : 4,653.86 = 1,022.83 : x
  2. Step 2: Convert to fraction form
    3,102.91/4,653.86 = 1,022.83/x
  3. Step 3: Cross multiply
    3,102.91x = 4,653.86 × 1,022.83
  4. Step 4: Simplify right side
    3,102.91x = 4,760,090.88
  5. Step 5: Solve for x
    x = 4,760,090.88/3,102.91
  6. Step 6: Final answer
    x = 1,534.07

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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.