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Finding the Fourth Proportional to 2,452.66, 3,676.64 and 1,572.70

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Solution

The fourth proportional to 2,452.66, 3,676.64 and 1,572.70 is: 2,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.66 : 3,676.64 = 1,572.70 : x
  2. Step 2: Convert to fraction form
    2,452.66/3,676.64 = 1,572.70/x
  3. Step 3: Cross multiply
    2,452.66x = 3,676.64 × 1,572.70
  4. Step 4: Simplify right side
    2,452.66x = 5,782,250.41
  5. Step 5: Solve for x
    x = 5,782,250.41/2,452.66
  6. Step 6: Final answer
    x = 2,357.54

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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.