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Finding the Fourth Proportional to 2,076.03, 3,114.42 and 595.18

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Solution

The fourth proportional to 2,076.03, 3,114.42 and 595.18 is: 892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.03 : 3,114.42 = 595.18 : x
  2. Step 2: Convert to fraction form
    2,076.03/3,114.42 = 595.18/x
  3. Step 3: Cross multiply
    2,076.03x = 3,114.42 × 595.18
  4. Step 4: Simplify right side
    2,076.03x = 1,853,640.50
  5. Step 5: Solve for x
    x = 1,853,640.50/2,076.03
  6. Step 6: Final answer
    x = 892.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.