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Finding the Fourth Proportional to 1,908.96, 2,867.76 and 1,649.76

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Solution

The fourth proportional to 1,908.96, 2,867.76 and 1,649.76 is: 2,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.96 : 2,867.76 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    1,908.96/2,867.76 = 1,649.76/x
  3. Step 3: Cross multiply
    1,908.96x = 2,867.76 × 1,649.76
  4. Step 4: Simplify right side
    1,908.96x = 4,731,115.74
  5. Step 5: Solve for x
    x = 4,731,115.74/1,908.96
  6. Step 6: Final answer
    x = 2,478.37

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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.