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Finding the Fourth Proportional to 1,680.45, 2,521.07 and 1,652.55

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Solution

The fourth proportional to 1,680.45, 2,521.07 and 1,652.55 is: 2,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.45 : 2,521.07 = 1,652.55 : x
  2. Step 2: Convert to fraction form
    1,680.45/2,521.07 = 1,652.55/x
  3. Step 3: Cross multiply
    1,680.45x = 2,521.07 × 1,652.55
  4. Step 4: Simplify right side
    1,680.45x = 4,166,194.23
  5. Step 5: Solve for x
    x = 4,166,194.23/1,680.45
  6. Step 6: Final answer
    x = 2,479.21

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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.