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Finding the Fourth Proportional to 1,709.33, 2,549.42 and 1,679.73

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Solution

The fourth proportional to 1,709.33, 2,549.42 and 1,679.73 is: 2,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.33 : 2,549.42 = 1,679.73 : x
  2. Step 2: Convert to fraction form
    1,709.33/2,549.42 = 1,679.73/x
  3. Step 3: Cross multiply
    1,709.33x = 2,549.42 × 1,679.73
  4. Step 4: Simplify right side
    1,709.33x = 4,282,328.86
  5. Step 5: Solve for x
    x = 4,282,328.86/1,709.33
  6. Step 6: Final answer
    x = 2,505.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.