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Finding the Fourth Proportional to 1,909.64, 2,864.45 and 677.09

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Solution

The fourth proportional to 1,909.64, 2,864.45 and 677.09 is: 1,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.64 : 2,864.45 = 677.09 : x
  2. Step 2: Convert to fraction form
    1,909.64/2,864.45 = 677.09/x
  3. Step 3: Cross multiply
    1,909.64x = 2,864.45 × 677.09
  4. Step 4: Simplify right side
    1,909.64x = 1,939,499.30
  5. Step 5: Solve for x
    x = 1,939,499.30/1,909.64
  6. Step 6: Final answer
    x = 1,015.63

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