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Finding the Fourth Proportional to 1,680.41, 2,521.33 and 900.20

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Solution

The fourth proportional to 1,680.41, 2,521.33 and 900.20 is: 1,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.41 : 2,521.33 = 900.20 : x
  2. Step 2: Convert to fraction form
    1,680.41/2,521.33 = 900.20/x
  3. Step 3: Cross multiply
    1,680.41x = 2,521.33 × 900.20
  4. Step 4: Simplify right side
    1,680.41x = 2,269,705.32
  5. Step 5: Solve for x
    x = 2,269,705.32/1,680.41
  6. Step 6: Final answer
    x = 1,350.68

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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.