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Finding the Fourth Proportional to 3,841.90, 5,763.76 and 1,650.65

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Solution

The fourth proportional to 3,841.90, 5,763.76 and 1,650.65 is: 2,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.90 : 5,763.76 = 1,650.65 : x
  2. Step 2: Convert to fraction form
    3,841.90/5,763.76 = 1,650.65/x
  3. Step 3: Cross multiply
    3,841.90x = 5,763.76 × 1,650.65
  4. Step 4: Simplify right side
    3,841.90x = 9,513,917.50
  5. Step 5: Solve for x
    x = 9,513,917.50/3,841.90
  6. Step 6: Final answer
    x = 2,476.36

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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.