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Finding the Fourth Proportional to 1,871.92, 2,801.04 and 1,614.94

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Solution

The fourth proportional to 1,871.92, 2,801.04 and 1,614.94 is: 2,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.92 : 2,801.04 = 1,614.94 : x
  2. Step 2: Convert to fraction form
    1,871.92/2,801.04 = 1,614.94/x
  3. Step 3: Cross multiply
    1,871.92x = 2,801.04 × 1,614.94
  4. Step 4: Simplify right side
    1,871.92x = 4,523,511.54
  5. Step 5: Solve for x
    x = 4,523,511.54/1,871.92
  6. Step 6: Final answer
    x = 2,416.51

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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.