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Finding the Fourth Proportional to 2,409.94, 3,325.71 and 1,362.00

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Solution

The fourth proportional to 2,409.94, 3,325.71 and 1,362.00 is: 1,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.94 : 3,325.71 = 1,362.00 : x
  2. Step 2: Convert to fraction form
    2,409.94/3,325.71 = 1,362.00/x
  3. Step 3: Cross multiply
    2,409.94x = 3,325.71 × 1,362.00
  4. Step 4: Simplify right side
    2,409.94x = 4,529,600.39
  5. Step 5: Solve for x
    x = 4,529,600.39/2,409.94
  6. Step 6: Final answer
    x = 1,879.55

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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.