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Finding the Fourth Proportional to 1,676.03, 2,512.90 and 852.71

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Solution

The fourth proportional to 1,676.03, 2,512.90 and 852.71 is: 1,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.03 : 2,512.90 = 852.71 : x
  2. Step 2: Convert to fraction form
    1,676.03/2,512.90 = 852.71/x
  3. Step 3: Cross multiply
    1,676.03x = 2,512.90 × 852.71
  4. Step 4: Simplify right side
    1,676.03x = 2,142,779.11
  5. Step 5: Solve for x
    x = 2,142,779.11/1,676.03
  6. Step 6: Final answer
    x = 1,278.48

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