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Finding the Fourth Proportional to 1,681.56, 2,525.85 and 1,626.21

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Solution

The fourth proportional to 1,681.56, 2,525.85 and 1,626.21 is: 2,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.56 : 2,525.85 = 1,626.21 : x
  2. Step 2: Convert to fraction form
    1,681.56/2,525.85 = 1,626.21/x
  3. Step 3: Cross multiply
    1,681.56x = 2,525.85 × 1,626.21
  4. Step 4: Simplify right side
    1,681.56x = 4,107,562.53
  5. Step 5: Solve for x
    x = 4,107,562.53/1,681.56
  6. Step 6: Final answer
    x = 2,442.71

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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.