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Finding the Fourth Proportional to 2,434.70, 3,418.30 and 2,434.70

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Solution

The fourth proportional to 2,434.70, 3,418.30 and 2,434.70 is: 3,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.70 : 3,418.30 = 2,434.70 : x
  2. Step 2: Convert to fraction form
    2,434.70/3,418.30 = 2,434.70/x
  3. Step 3: Cross multiply
    2,434.70x = 3,418.30 × 2,434.70
  4. Step 4: Simplify right side
    2,434.70x = 8,322,535.01
  5. Step 5: Solve for x
    x = 8,322,535.01/2,434.70
  6. Step 6: Final answer
    x = 3,418.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.