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Finding the Fourth Proportional to 2,673.74, 3,689.76 and 1,494.81

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Solution

The fourth proportional to 2,673.74, 3,689.76 and 1,494.81 is: 2,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.74 : 3,689.76 = 1,494.81 : x
  2. Step 2: Convert to fraction form
    2,673.74/3,689.76 = 1,494.81/x
  3. Step 3: Cross multiply
    2,673.74x = 3,689.76 × 1,494.81
  4. Step 4: Simplify right side
    2,673.74x = 5,515,495.75
  5. Step 5: Solve for x
    x = 5,515,495.75/2,673.74
  6. Step 6: Final answer
    x = 2,062.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.