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Finding the Fourth Proportional to 1,512.42, 2,087.30 and 849.23

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Solution

The fourth proportional to 1,512.42, 2,087.30 and 849.23 is: 1,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.42 : 2,087.30 = 849.23 : x
  2. Step 2: Convert to fraction form
    1,512.42/2,087.30 = 849.23/x
  3. Step 3: Cross multiply
    1,512.42x = 2,087.30 × 849.23
  4. Step 4: Simplify right side
    1,512.42x = 1,772,597.29
  5. Step 5: Solve for x
    x = 1,772,597.29/1,512.42
  6. Step 6: Final answer
    x = 1,172.03

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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.