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Finding the Fourth Proportional to 1,686.21, 2,523.92 and 904.29

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Solution

The fourth proportional to 1,686.21, 2,523.92 and 904.29 is: 1,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.21 : 2,523.92 = 904.29 : x
  2. Step 2: Convert to fraction form
    1,686.21/2,523.92 = 904.29/x
  3. Step 3: Cross multiply
    1,686.21x = 2,523.92 × 904.29
  4. Step 4: Simplify right side
    1,686.21x = 2,282,355.62
  5. Step 5: Solve for x
    x = 2,282,355.62/1,686.21
  6. Step 6: Final answer
    x = 1,353.54

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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.