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Finding the Fourth Proportional to 2,471.35, 3,410.61 and 1,409.44

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Solution

The fourth proportional to 2,471.35, 3,410.61 and 1,409.44 is: 1,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.35 : 3,410.61 = 1,409.44 : x
  2. Step 2: Convert to fraction form
    2,471.35/3,410.61 = 1,409.44/x
  3. Step 3: Cross multiply
    2,471.35x = 3,410.61 × 1,409.44
  4. Step 4: Simplify right side
    2,471.35x = 4,807,050.16
  5. Step 5: Solve for x
    x = 4,807,050.16/2,471.35
  6. Step 6: Final answer
    x = 1,945.11

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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.