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Finding the Fourth Proportional to 2,558.70, 3,838.05 and 2,450.70

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Solution

The fourth proportional to 2,558.70, 3,838.05 and 2,450.70 is: 3,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.70 : 3,838.05 = 2,450.70 : x
  2. Step 2: Convert to fraction form
    2,558.70/3,838.05 = 2,450.70/x
  3. Step 3: Cross multiply
    2,558.70x = 3,838.05 × 2,450.70
  4. Step 4: Simplify right side
    2,558.70x = 9,405,909.14
  5. Step 5: Solve for x
    x = 9,405,909.14/2,558.70
  6. Step 6: Final answer
    x = 3,676.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.