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Finding the Fourth Proportional to 2,763.90, 3,812.45 and 2,410.65

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Solution

The fourth proportional to 2,763.90, 3,812.45 and 2,410.65 is: 3,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.90 : 3,812.45 = 2,410.65 : x
  2. Step 2: Convert to fraction form
    2,763.90/3,812.45 = 2,410.65/x
  3. Step 3: Cross multiply
    2,763.90x = 3,812.45 × 2,410.65
  4. Step 4: Simplify right side
    2,763.90x = 9,190,470.54
  5. Step 5: Solve for x
    x = 9,190,470.54/2,763.90
  6. Step 6: Final answer
    x = 3,325.18

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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.