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Finding the Fourth Proportional to 2,451.06, 3,676.59 and 696.25

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Solution

The fourth proportional to 2,451.06, 3,676.59 and 696.25 is: 1,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.06 : 3,676.59 = 696.25 : x
  2. Step 2: Convert to fraction form
    2,451.06/3,676.59 = 696.25/x
  3. Step 3: Cross multiply
    2,451.06x = 3,676.59 × 696.25
  4. Step 4: Simplify right side
    2,451.06x = 2,559,809.70
  5. Step 5: Solve for x
    x = 2,559,809.70/2,451.06
  6. Step 6: Final answer
    x = 1,044.37

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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.