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Finding the Fourth Proportional to 2,609.68, 3,601.47 and 1,561.54

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Solution

The fourth proportional to 2,609.68, 3,601.47 and 1,561.54 is: 2,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.68 : 3,601.47 = 1,561.54 : x
  2. Step 2: Convert to fraction form
    2,609.68/3,601.47 = 1,561.54/x
  3. Step 3: Cross multiply
    2,609.68x = 3,601.47 × 1,561.54
  4. Step 4: Simplify right side
    2,609.68x = 5,623,839.46
  5. Step 5: Solve for x
    x = 5,623,839.46/2,609.68
  6. Step 6: Final answer
    x = 2,154.99

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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.