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Finding the Fourth Proportional to 2,855.22, 4,283.18 and 1,006.80

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Solution

The fourth proportional to 2,855.22, 4,283.18 and 1,006.80 is: 1,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.22 : 4,283.18 = 1,006.80 : x
  2. Step 2: Convert to fraction form
    2,855.22/4,283.18 = 1,006.80/x
  3. Step 3: Cross multiply
    2,855.22x = 4,283.18 × 1,006.80
  4. Step 4: Simplify right side
    2,855.22x = 4,312,305.62
  5. Step 5: Solve for x
    x = 4,312,305.62/2,855.22
  6. Step 6: Final answer
    x = 1,510.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.