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Finding the Fourth Proportional to 2,409.73, 3,324.62 and 1,347.32

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Solution

The fourth proportional to 2,409.73, 3,324.62 and 1,347.32 is: 1,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.73 : 3,324.62 = 1,347.32 : x
  2. Step 2: Convert to fraction form
    2,409.73/3,324.62 = 1,347.32/x
  3. Step 3: Cross multiply
    2,409.73x = 3,324.62 × 1,347.32
  4. Step 4: Simplify right side
    2,409.73x = 4,479,338.70
  5. Step 5: Solve for x
    x = 4,479,338.70/2,409.73
  6. Step 6: Final answer
    x = 1,858.86

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1.5x scale

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.