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Finding the Fourth Proportional to 1,676.74, 2,301.50 and 1,486.06

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Solution

The fourth proportional to 1,676.74, 2,301.50 and 1,486.06 is: 2,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.74 : 2,301.50 = 1,486.06 : x
  2. Step 2: Convert to fraction form
    1,676.74/2,301.50 = 1,486.06/x
  3. Step 3: Cross multiply
    1,676.74x = 2,301.50 × 1,486.06
  4. Step 4: Simplify right side
    1,676.74x = 3,420,167.09
  5. Step 5: Solve for x
    x = 3,420,167.09/1,676.74
  6. Step 6: Final answer
    x = 2,039.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.