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Finding the Fourth Proportional to 2,612.70, 3,605.60 and 1,433.80

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Solution

The fourth proportional to 2,612.70, 3,605.60 and 1,433.80 is: 1,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.70 : 3,605.60 = 1,433.80 : x
  2. Step 2: Convert to fraction form
    2,612.70/3,605.60 = 1,433.80/x
  3. Step 3: Cross multiply
    2,612.70x = 3,605.60 × 1,433.80
  4. Step 4: Simplify right side
    2,612.70x = 5,169,709.28
  5. Step 5: Solve for x
    x = 5,169,709.28/2,612.70
  6. Step 6: Final answer
    x = 1,978.68

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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.