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Finding the Fourth Proportional to 1,532.12, 2,114.34 and 911

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Solution

The fourth proportional to 1,532.12, 2,114.34 and 911 is: 1,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.12 : 2,114.34 = 911 : x
  2. Step 2: Convert to fraction form
    1,532.12/2,114.34 = 911/x
  3. Step 3: Cross multiply
    1,532.12x = 2,114.34 × 911
  4. Step 4: Simplify right side
    1,532.12x = 1,926,163.74
  5. Step 5: Solve for x
    x = 1,926,163.74/1,532.12
  6. Step 6: Final answer
    x = 1,257.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.