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Finding the Fourth Proportional to 2,072.50, 2,860.05 and 1,521.46

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Solution

The fourth proportional to 2,072.50, 2,860.05 and 1,521.46 is: 2,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.50 : 2,860.05 = 1,521.46 : x
  2. Step 2: Convert to fraction form
    2,072.50/2,860.05 = 1,521.46/x
  3. Step 3: Cross multiply
    2,072.50x = 2,860.05 × 1,521.46
  4. Step 4: Simplify right side
    2,072.50x = 4,351,451.67
  5. Step 5: Solve for x
    x = 4,351,451.67/2,072.50
  6. Step 6: Final answer
    x = 2,099.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.