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Finding the Fourth Proportional to 3,102.66, 4,654.63 and 1,022.79

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Solution

The fourth proportional to 3,102.66, 4,654.63 and 1,022.79 is: 1,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.66 : 4,654.63 = 1,022.79 : x
  2. Step 2: Convert to fraction form
    3,102.66/4,654.63 = 1,022.79/x
  3. Step 3: Cross multiply
    3,102.66x = 4,654.63 × 1,022.79
  4. Step 4: Simplify right side
    3,102.66x = 4,760,709.02
  5. Step 5: Solve for x
    x = 4,760,709.02/3,102.66
  6. Step 6: Final answer
    x = 1,534.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.