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Finding the Fourth Proportional to 2,605.81, 3,596.01 and 1,426.87

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Solution

The fourth proportional to 2,605.81, 3,596.01 and 1,426.87 is: 1,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.81 : 3,596.01 = 1,426.87 : x
  2. Step 2: Convert to fraction form
    2,605.81/3,596.01 = 1,426.87/x
  3. Step 3: Cross multiply
    2,605.81x = 3,596.01 × 1,426.87
  4. Step 4: Simplify right side
    2,605.81x = 5,131,038.79
  5. Step 5: Solve for x
    x = 5,131,038.79/2,605.81
  6. Step 6: Final answer
    x = 1,969.08

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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.