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Finding the Fourth Proportional to 2,612.96, 3,605.94 and 1,434.03

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Solution

The fourth proportional to 2,612.96, 3,605.94 and 1,434.03 is: 1,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.96 : 3,605.94 = 1,434.03 : x
  2. Step 2: Convert to fraction form
    2,612.96/3,605.94 = 1,434.03/x
  3. Step 3: Cross multiply
    2,612.96x = 3,605.94 × 1,434.03
  4. Step 4: Simplify right side
    2,612.96x = 5,171,026.14
  5. Step 5: Solve for x
    x = 5,171,026.14/2,612.96
  6. Step 6: Final answer
    x = 1,978.99

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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.