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Finding the Fourth Proportional to 2,605.91, 3,596.04 and 1,426.95

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Solution

The fourth proportional to 2,605.91, 3,596.04 and 1,426.95 is: 1,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.91 : 3,596.04 = 1,426.95 : x
  2. Step 2: Convert to fraction form
    2,605.91/3,596.04 = 1,426.95/x
  3. Step 3: Cross multiply
    2,605.91x = 3,596.04 × 1,426.95
  4. Step 4: Simplify right side
    2,605.91x = 5,131,369.28
  5. Step 5: Solve for x
    x = 5,131,369.28/2,605.91
  6. Step 6: Final answer
    x = 1,969.13

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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.