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Finding the Fourth Proportional to 2,676.04, 4,010.98 and 1,031.76

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Solution

The fourth proportional to 2,676.04, 4,010.98 and 1,031.76 is: 1,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.04 : 4,010.98 = 1,031.76 : x
  2. Step 2: Convert to fraction form
    2,676.04/4,010.98 = 1,031.76/x
  3. Step 3: Cross multiply
    2,676.04x = 4,010.98 × 1,031.76
  4. Step 4: Simplify right side
    2,676.04x = 4,138,368.72
  5. Step 5: Solve for x
    x = 4,138,368.72/2,676.04
  6. Step 6: Final answer
    x = 1,546.45

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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.