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Finding the Fourth Proportional to 3,102.47, 4,654.39 and 911.06

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Solution

The fourth proportional to 3,102.47, 4,654.39 and 911.06 is: 1,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.47 : 4,654.39 = 911.06 : x
  2. Step 2: Convert to fraction form
    3,102.47/4,654.39 = 911.06/x
  3. Step 3: Cross multiply
    3,102.47x = 4,654.39 × 911.06
  4. Step 4: Simplify right side
    3,102.47x = 4,240,428.55
  5. Step 5: Solve for x
    x = 4,240,428.55/3,102.47
  6. Step 6: Final answer
    x = 1,366.79

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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.