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Finding the Fourth Proportional to 1,975.08, 2,962.64 and 676.56

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Solution

The fourth proportional to 1,975.08, 2,962.64 and 676.56 is: 1,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.08 : 2,962.64 = 676.56 : x
  2. Step 2: Convert to fraction form
    1,975.08/2,962.64 = 676.56/x
  3. Step 3: Cross multiply
    1,975.08x = 2,962.64 × 676.56
  4. Step 4: Simplify right side
    1,975.08x = 2,004,403.72
  5. Step 5: Solve for x
    x = 2,004,403.72/1,975.08
  6. Step 6: Final answer
    x = 1,014.85

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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.