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Finding the Fourth Proportional to 1,532.75, 2,115.72 and 943.34

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Solution

The fourth proportional to 1,532.75, 2,115.72 and 943.34 is: 1,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.75 : 2,115.72 = 943.34 : x
  2. Step 2: Convert to fraction form
    1,532.75/2,115.72 = 943.34/x
  3. Step 3: Cross multiply
    1,532.75x = 2,115.72 × 943.34
  4. Step 4: Simplify right side
    1,532.75x = 1,995,832.73
  5. Step 5: Solve for x
    x = 1,995,832.73/1,532.75
  6. Step 6: Final answer
    x = 1,302.13

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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.