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Finding the Fourth Proportional to 1,600.14, 2,398.64 and 676.34

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Solution

The fourth proportional to 1,600.14, 2,398.64 and 676.34 is: 1,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.14 : 2,398.64 = 676.34 : x
  2. Step 2: Convert to fraction form
    1,600.14/2,398.64 = 676.34/x
  3. Step 3: Cross multiply
    1,600.14x = 2,398.64 × 676.34
  4. Step 4: Simplify right side
    1,600.14x = 1,622,280.80
  5. Step 5: Solve for x
    x = 1,622,280.80/1,600.14
  6. Step 6: Final answer
    x = 1,013.84

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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.