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Finding the Fourth Proportional to 1,632, 2,252.16 and 1,011.84

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Solution

The fourth proportional to 1,632, 2,252.16 and 1,011.84 is: 1,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632 : 2,252.16 = 1,011.84 : x
  2. Step 2: Convert to fraction form
    1,632/2,252.16 = 1,011.84/x
  3. Step 3: Cross multiply
    1,632x = 2,252.16 × 1,011.84
  4. Step 4: Simplify right side
    1,632x = 2,278,825.57
  5. Step 5: Solve for x
    x = 2,278,825.57/1,632
  6. Step 6: Final answer
    x = 1,396.34

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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.