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Finding the Fourth Proportional to 2,805.57, 4,204.08 and 1,415.03

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Solution

The fourth proportional to 2,805.57, 4,204.08 and 1,415.03 is: 2,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.57 : 4,204.08 = 1,415.03 : x
  2. Step 2: Convert to fraction form
    2,805.57/4,204.08 = 1,415.03/x
  3. Step 3: Cross multiply
    2,805.57x = 4,204.08 × 1,415.03
  4. Step 4: Simplify right side
    2,805.57x = 5,948,878.30
  5. Step 5: Solve for x
    x = 5,948,878.30/2,805.57
  6. Step 6: Final answer
    x = 2,120.38

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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.