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Finding the Fourth Proportional to 2,961.50, 4,089.30 and 2,256.80

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Solution

The fourth proportional to 2,961.50, 4,089.30 and 2,256.80 is: 3,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.50 : 4,089.30 = 2,256.80 : x
  2. Step 2: Convert to fraction form
    2,961.50/4,089.30 = 2,256.80/x
  3. Step 3: Cross multiply
    2,961.50x = 4,089.30 × 2,256.80
  4. Step 4: Simplify right side
    2,961.50x = 9,228,732.24
  5. Step 5: Solve for x
    x = 9,228,732.24/2,961.50
  6. Step 6: Final answer
    x = 3,116.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.