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Finding the Fourth Proportional to 2,450.55, 3,676.05 and 695.58

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Solution

The fourth proportional to 2,450.55, 3,676.05 and 695.58 is: 1,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.55 : 3,676.05 = 695.58 : x
  2. Step 2: Convert to fraction form
    2,450.55/3,676.05 = 695.58/x
  3. Step 3: Cross multiply
    2,450.55x = 3,676.05 × 695.58
  4. Step 4: Simplify right side
    2,450.55x = 2,556,983.38
  5. Step 5: Solve for x
    x = 2,556,983.38/2,450.55
  6. Step 6: Final answer
    x = 1,043.43

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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.