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Finding the Fourth Proportional to 2,415.62, 3,620.63 and 1,114.38

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Solution

The fourth proportional to 2,415.62, 3,620.63 and 1,114.38 is: 1,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.62 : 3,620.63 = 1,114.38 : x
  2. Step 2: Convert to fraction form
    2,415.62/3,620.63 = 1,114.38/x
  3. Step 3: Cross multiply
    2,415.62x = 3,620.63 × 1,114.38
  4. Step 4: Simplify right side
    2,415.62x = 4,034,757.66
  5. Step 5: Solve for x
    x = 4,034,757.66/2,415.62
  6. Step 6: Final answer
    x = 1,670.28

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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.