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Finding the Fourth Proportional to 1,405.06, 2,105.14 and 911.96

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Solution

The fourth proportional to 1,405.06, 2,105.14 and 911.96 is: 1,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.06 : 2,105.14 = 911.96 : x
  2. Step 2: Convert to fraction form
    1,405.06/2,105.14 = 911.96/x
  3. Step 3: Cross multiply
    1,405.06x = 2,105.14 × 911.96
  4. Step 4: Simplify right side
    1,405.06x = 1,919,800.27
  5. Step 5: Solve for x
    x = 1,919,800.27/1,405.06
  6. Step 6: Final answer
    x = 1,366.35

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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.