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Finding the Fourth Proportional to 1,431.40, 2,150.70 and 911.65

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Solution

The fourth proportional to 1,431.40, 2,150.70 and 911.65 is: 1,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.40 : 2,150.70 = 911.65 : x
  2. Step 2: Convert to fraction form
    1,431.40/2,150.70 = 911.65/x
  3. Step 3: Cross multiply
    1,431.40x = 2,150.70 × 911.65
  4. Step 4: Simplify right side
    1,431.40x = 1,960,685.66
  5. Step 5: Solve for x
    x = 1,960,685.66/1,431.40
  6. Step 6: Final answer
    x = 1,369.77

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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.