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Finding the Fourth Proportional to 2,471.54, 3,410.73 and 1,352.45

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Solution

The fourth proportional to 2,471.54, 3,410.73 and 1,352.45 is: 1,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.54 : 3,410.73 = 1,352.45 : x
  2. Step 2: Convert to fraction form
    2,471.54/3,410.73 = 1,352.45/x
  3. Step 3: Cross multiply
    2,471.54x = 3,410.73 × 1,352.45
  4. Step 4: Simplify right side
    2,471.54x = 4,612,841.79
  5. Step 5: Solve for x
    x = 4,612,841.79/2,471.54
  6. Step 6: Final answer
    x = 1,866.38

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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.