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Finding the Fourth Proportional to 2,612.71, 3,605.57 and 1,433.80

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Solution

The fourth proportional to 2,612.71, 3,605.57 and 1,433.80 is: 1,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.71 : 3,605.57 = 1,433.80 : x
  2. Step 2: Convert to fraction form
    2,612.71/3,605.57 = 1,433.80/x
  3. Step 3: Cross multiply
    2,612.71x = 3,605.57 × 1,433.80
  4. Step 4: Simplify right side
    2,612.71x = 5,169,666.27
  5. Step 5: Solve for x
    x = 5,169,666.27/2,612.71
  6. Step 6: Final answer
    x = 1,978.66

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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.