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Finding the Fourth Proportional to 2,187.84, 3,020.45 and 1,516.62

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Solution

The fourth proportional to 2,187.84, 3,020.45 and 1,516.62 is: 2,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.84 : 3,020.45 = 1,516.62 : x
  2. Step 2: Convert to fraction form
    2,187.84/3,020.45 = 1,516.62/x
  3. Step 3: Cross multiply
    2,187.84x = 3,020.45 × 1,516.62
  4. Step 4: Simplify right side
    2,187.84x = 4,580,867.30
  5. Step 5: Solve for x
    x = 4,580,867.30/2,187.84
  6. Step 6: Final answer
    x = 2,093.79

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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.