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Finding the Fourth Proportional to 1,682.02, 2,521.05 and 952.30

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Solution

The fourth proportional to 1,682.02, 2,521.05 and 952.30 is: 1,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.02 : 2,521.05 = 952.30 : x
  2. Step 2: Convert to fraction form
    1,682.02/2,521.05 = 952.30/x
  3. Step 3: Cross multiply
    1,682.02x = 2,521.05 × 952.30
  4. Step 4: Simplify right side
    1,682.02x = 2,400,795.92
  5. Step 5: Solve for x
    x = 2,400,795.92/1,682.02
  6. Step 6: Final answer
    x = 1,427.33

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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.