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Finding the Fourth Proportional to 1,552.34, 2,141.77 and 922.55

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Solution

The fourth proportional to 1,552.34, 2,141.77 and 922.55 is: 1,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.34 : 2,141.77 = 922.55 : x
  2. Step 2: Convert to fraction form
    1,552.34/2,141.77 = 922.55/x
  3. Step 3: Cross multiply
    1,552.34x = 2,141.77 × 922.55
  4. Step 4: Simplify right side
    1,552.34x = 1,975,884.56
  5. Step 5: Solve for x
    x = 1,975,884.56/1,552.34
  6. Step 6: Final answer
    x = 1,272.84

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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.