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Finding the Fourth Proportional to 1,676.66, 2,512.98 and 580.41

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Solution

The fourth proportional to 1,676.66, 2,512.98 and 580.41 is: 869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.66 : 2,512.98 = 580.41 : x
  2. Step 2: Convert to fraction form
    1,676.66/2,512.98 = 580.41/x
  3. Step 3: Cross multiply
    1,676.66x = 2,512.98 × 580.41
  4. Step 4: Simplify right side
    1,676.66x = 1,458,558.72
  5. Step 5: Solve for x
    x = 1,458,558.72/1,676.66
  6. Step 6: Final answer
    x = 869.92

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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.