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Finding the Fourth Proportional to 3,612.76, 4,985.94 and 2,041

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Solution

The fourth proportional to 3,612.76, 4,985.94 and 2,041 is: 2,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.76 : 4,985.94 = 2,041 : x
  2. Step 2: Convert to fraction form
    3,612.76/4,985.94 = 2,041/x
  3. Step 3: Cross multiply
    3,612.76x = 4,985.94 × 2,041
  4. Step 4: Simplify right side
    3,612.76x = 10,176,303.54
  5. Step 5: Solve for x
    x = 10,176,303.54/3,612.76
  6. Step 6: Final answer
    x = 2,816.77

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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.