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Finding the Fourth Proportional to 2,369.45, 3,562.11 and 1,681.09

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Solution

The fourth proportional to 2,369.45, 3,562.11 and 1,681.09 is: 2,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.45 : 3,562.11 = 1,681.09 : x
  2. Step 2: Convert to fraction form
    2,369.45/3,562.11 = 1,681.09/x
  3. Step 3: Cross multiply
    2,369.45x = 3,562.11 × 1,681.09
  4. Step 4: Simplify right side
    2,369.45x = 5,988,218.59
  5. Step 5: Solve for x
    x = 5,988,218.59/2,369.45
  6. Step 6: Final answer
    x = 2,527.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.