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Finding the Fourth Proportional to 1,910.42, 2,649.86 and 1,859.84

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Solution

The fourth proportional to 1,910.42, 2,649.86 and 1,859.84 is: 2,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.42 : 2,649.86 = 1,859.84 : x
  2. Step 2: Convert to fraction form
    1,910.42/2,649.86 = 1,859.84/x
  3. Step 3: Cross multiply
    1,910.42x = 2,649.86 × 1,859.84
  4. Step 4: Simplify right side
    1,910.42x = 4,928,315.62
  5. Step 5: Solve for x
    x = 4,928,315.62/1,910.42
  6. Step 6: Final answer
    x = 2,579.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.