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Finding the Fourth Proportional to 1,517.52, 2,094.12 and 854.34

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Solution

The fourth proportional to 1,517.52, 2,094.12 and 854.34 is: 1,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.52 : 2,094.12 = 854.34 : x
  2. Step 2: Convert to fraction form
    1,517.52/2,094.12 = 854.34/x
  3. Step 3: Cross multiply
    1,517.52x = 2,094.12 × 854.34
  4. Step 4: Simplify right side
    1,517.52x = 1,789,090.48
  5. Step 5: Solve for x
    x = 1,789,090.48/1,517.52
  6. Step 6: Final answer
    x = 1,178.96

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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.