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Finding the Fourth Proportional to 2,742.36, 4,115.04 and 1,805.29

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Solution

The fourth proportional to 2,742.36, 4,115.04 and 1,805.29 is: 2,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.36 : 4,115.04 = 1,805.29 : x
  2. Step 2: Convert to fraction form
    2,742.36/4,115.04 = 1,805.29/x
  3. Step 3: Cross multiply
    2,742.36x = 4,115.04 × 1,805.29
  4. Step 4: Simplify right side
    2,742.36x = 7,428,823.50
  5. Step 5: Solve for x
    x = 7,428,823.50/2,742.36
  6. Step 6: Final answer
    x = 2,708.92

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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.