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Finding the Fourth Proportional to 2,471.80, 3,411.41 and 1,409.95

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Solution

The fourth proportional to 2,471.80, 3,411.41 and 1,409.95 is: 1,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.80 : 3,411.41 = 1,409.95 : x
  2. Step 2: Convert to fraction form
    2,471.80/3,411.41 = 1,409.95/x
  3. Step 3: Cross multiply
    2,471.80x = 3,411.41 × 1,409.95
  4. Step 4: Simplify right side
    2,471.80x = 4,809,917.53
  5. Step 5: Solve for x
    x = 4,809,917.53/2,471.80
  6. Step 6: Final answer
    x = 1,945.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.