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Finding the Fourth Proportional to 1,869.76, 2,797.28 and 1,650.88

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Solution

The fourth proportional to 1,869.76, 2,797.28 and 1,650.88 is: 2,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.76 : 2,797.28 = 1,650.88 : x
  2. Step 2: Convert to fraction form
    1,869.76/2,797.28 = 1,650.88/x
  3. Step 3: Cross multiply
    1,869.76x = 2,797.28 × 1,650.88
  4. Step 4: Simplify right side
    1,869.76x = 4,617,973.61
  5. Step 5: Solve for x
    x = 4,617,973.61/1,869.76
  6. Step 6: Final answer
    x = 2,469.82

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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.