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Finding the Fourth Proportional to 2,676.98, 4,016.02 and 1,582.14

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Solution

The fourth proportional to 2,676.98, 4,016.02 and 1,582.14 is: 2,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.98 : 4,016.02 = 1,582.14 : x
  2. Step 2: Convert to fraction form
    2,676.98/4,016.02 = 1,582.14/x
  3. Step 3: Cross multiply
    2,676.98x = 4,016.02 × 1,582.14
  4. Step 4: Simplify right side
    2,676.98x = 6,353,905.88
  5. Step 5: Solve for x
    x = 6,353,905.88/2,676.98
  6. Step 6: Final answer
    x = 2,373.54

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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.