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Finding the Fourth Proportional to 2,676.61, 4,014.51 and 728.97

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Solution

The fourth proportional to 2,676.61, 4,014.51 and 728.97 is: 1,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.61 : 4,014.51 = 728.97 : x
  2. Step 2: Convert to fraction form
    2,676.61/4,014.51 = 728.97/x
  3. Step 3: Cross multiply
    2,676.61x = 4,014.51 × 728.97
  4. Step 4: Simplify right side
    2,676.61x = 2,926,437.28
  5. Step 5: Solve for x
    x = 2,926,437.28/2,676.61
  6. Step 6: Final answer
    x = 1,093.34

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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.