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Finding the Fourth Proportional to 2,284.51, 3,426.90 and 1,115.51

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Solution

The fourth proportional to 2,284.51, 3,426.90 and 1,115.51 is: 1,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.51 : 3,426.90 = 1,115.51 : x
  2. Step 2: Convert to fraction form
    2,284.51/3,426.90 = 1,115.51/x
  3. Step 3: Cross multiply
    2,284.51x = 3,426.90 × 1,115.51
  4. Step 4: Simplify right side
    2,284.51x = 3,822,741.22
  5. Step 5: Solve for x
    x = 3,822,741.22/2,284.51
  6. Step 6: Final answer
    x = 1,673.33

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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.