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Finding the Fourth Proportional to 1,676.88, 2,515.44 and 946.80

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Solution

The fourth proportional to 1,676.88, 2,515.44 and 946.80 is: 1,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.88 : 2,515.44 = 946.80 : x
  2. Step 2: Convert to fraction form
    1,676.88/2,515.44 = 946.80/x
  3. Step 3: Cross multiply
    1,676.88x = 2,515.44 × 946.80
  4. Step 4: Simplify right side
    1,676.88x = 2,381,618.59
  5. Step 5: Solve for x
    x = 2,381,618.59/1,676.88
  6. Step 6: Final answer
    x = 1,420.27

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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.