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Finding the Fourth Proportional to 2,404.88, 3,607.46 and 673.64

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Solution

The fourth proportional to 2,404.88, 3,607.46 and 673.64 is: 1,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.88 : 3,607.46 = 673.64 : x
  2. Step 2: Convert to fraction form
    2,404.88/3,607.46 = 673.64/x
  3. Step 3: Cross multiply
    2,404.88x = 3,607.46 × 673.64
  4. Step 4: Simplify right side
    2,404.88x = 2,430,107.95
  5. Step 5: Solve for x
    x = 2,430,107.95/2,404.88
  6. Step 6: Final answer
    x = 1,010.49

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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.