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Finding the Fourth Proportional to 2,893.80, 4,340.70 and 1,909.65

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Solution

The fourth proportional to 2,893.80, 4,340.70 and 1,909.65 is: 2,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.80 : 4,340.70 = 1,909.65 : x
  2. Step 2: Convert to fraction form
    2,893.80/4,340.70 = 1,909.65/x
  3. Step 3: Cross multiply
    2,893.80x = 4,340.70 × 1,909.65
  4. Step 4: Simplify right side
    2,893.80x = 8,289,217.76
  5. Step 5: Solve for x
    x = 8,289,217.76/2,893.80
  6. Step 6: Final answer
    x = 2,864.48

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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.