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Finding the Fourth Proportional to 2,471.49, 3,410.62 and 1,409.32

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Solution

The fourth proportional to 2,471.49, 3,410.62 and 1,409.32 is: 1,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.49 : 3,410.62 = 1,409.32 : x
  2. Step 2: Convert to fraction form
    2,471.49/3,410.62 = 1,409.32/x
  3. Step 3: Cross multiply
    2,471.49x = 3,410.62 × 1,409.32
  4. Step 4: Simplify right side
    2,471.49x = 4,806,654.98
  5. Step 5: Solve for x
    x = 4,806,654.98/2,471.49
  6. Step 6: Final answer
    x = 1,944.84

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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.