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Finding the Fourth Proportional to 2,089.39, 3,134.07 and 1,676.49

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Solution

The fourth proportional to 2,089.39, 3,134.07 and 1,676.49 is: 2,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.39 : 3,134.07 = 1,676.49 : x
  2. Step 2: Convert to fraction form
    2,089.39/3,134.07 = 1,676.49/x
  3. Step 3: Cross multiply
    2,089.39x = 3,134.07 × 1,676.49
  4. Step 4: Simplify right side
    2,089.39x = 5,254,237.01
  5. Step 5: Solve for x
    x = 5,254,237.01/2,089.39
  6. Step 6: Final answer
    x = 2,514.72

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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.