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Finding the Fourth Proportional to 2,409.08, 3,612.83 and 848.81

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Solution

The fourth proportional to 2,409.08, 3,612.83 and 848.81 is: 1,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.08 : 3,612.83 = 848.81 : x
  2. Step 2: Convert to fraction form
    2,409.08/3,612.83 = 848.81/x
  3. Step 3: Cross multiply
    2,409.08x = 3,612.83 × 848.81
  4. Step 4: Simplify right side
    2,409.08x = 3,066,583.92
  5. Step 5: Solve for x
    x = 3,066,583.92/2,409.08
  6. Step 6: Final answer
    x = 1,272.93

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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.