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Finding the Fourth Proportional to 2,516.75, 3,768.17 and 1,898.58

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Solution

The fourth proportional to 2,516.75, 3,768.17 and 1,898.58 is: 2,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.75 : 3,768.17 = 1,898.58 : x
  2. Step 2: Convert to fraction form
    2,516.75/3,768.17 = 1,898.58/x
  3. Step 3: Cross multiply
    2,516.75x = 3,768.17 × 1,898.58
  4. Step 4: Simplify right side
    2,516.75x = 7,154,153.29
  5. Step 5: Solve for x
    x = 7,154,153.29/2,516.75
  6. Step 6: Final answer
    x = 2,842.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.