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Finding the Fourth Proportional to 2,612.84, 3,605.74 and 1,433.94

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Solution

The fourth proportional to 2,612.84, 3,605.74 and 1,433.94 is: 1,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.84 : 3,605.74 = 1,433.94 : x
  2. Step 2: Convert to fraction form
    2,612.84/3,605.74 = 1,433.94/x
  3. Step 3: Cross multiply
    2,612.84x = 3,605.74 × 1,433.94
  4. Step 4: Simplify right side
    2,612.84x = 5,170,414.82
  5. Step 5: Solve for x
    x = 5,170,414.82/2,612.84
  6. Step 6: Final answer
    x = 1,978.85

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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.