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Finding the Fourth Proportional to 2,412.49, 3,619.00 and 768.66

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Solution

The fourth proportional to 2,412.49, 3,619.00 and 768.66 is: 1,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.49 : 3,619.00 = 768.66 : x
  2. Step 2: Convert to fraction form
    2,412.49/3,619.00 = 768.66/x
  3. Step 3: Cross multiply
    2,412.49x = 3,619.00 × 768.66
  4. Step 4: Simplify right side
    2,412.49x = 2,781,776.70
  5. Step 5: Solve for x
    x = 2,781,776.70/2,412.49
  6. Step 6: Final answer
    x = 1,153.08

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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.