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Finding the Fourth Proportional to 2,674.58, 3,689.04 and 1,917.68

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Solution

The fourth proportional to 2,674.58, 3,689.04 and 1,917.68 is: 2,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.58 : 3,689.04 = 1,917.68 : x
  2. Step 2: Convert to fraction form
    2,674.58/3,689.04 = 1,917.68/x
  3. Step 3: Cross multiply
    2,674.58x = 3,689.04 × 1,917.68
  4. Step 4: Simplify right side
    2,674.58x = 7,074,398.23
  5. Step 5: Solve for x
    x = 7,074,398.23/2,674.58
  6. Step 6: Final answer
    x = 2,645.05

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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.