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Finding the Fourth Proportional to 1,909.22, 2,628.82 and 1,830.40

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Solution

The fourth proportional to 1,909.22, 2,628.82 and 1,830.40 is: 2,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.22 : 2,628.82 = 1,830.40 : x
  2. Step 2: Convert to fraction form
    1,909.22/2,628.82 = 1,830.40/x
  3. Step 3: Cross multiply
    1,909.22x = 2,628.82 × 1,830.40
  4. Step 4: Simplify right side
    1,909.22x = 4,811,788.30
  5. Step 5: Solve for x
    x = 4,811,788.30/1,909.22
  6. Step 6: Final answer
    x = 2,520.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.