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Finding the Fourth Proportional to 2,472.13, 3,410.13 and 2,178.10

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Solution

The fourth proportional to 2,472.13, 3,410.13 and 2,178.10 is: 3,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.13 : 3,410.13 = 2,178.10 : x
  2. Step 2: Convert to fraction form
    2,472.13/3,410.13 = 2,178.10/x
  3. Step 3: Cross multiply
    2,472.13x = 3,410.13 × 2,178.10
  4. Step 4: Simplify right side
    2,472.13x = 7,427,604.15
  5. Step 5: Solve for x
    x = 7,427,604.15/2,472.13
  6. Step 6: Final answer
    x = 3,004.54

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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.