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Finding the Fourth Proportional to 2,855.06, 4,282.60 and 907.26

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Solution

The fourth proportional to 2,855.06, 4,282.60 and 907.26 is: 1,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.06 : 4,282.60 = 907.26 : x
  2. Step 2: Convert to fraction form
    2,855.06/4,282.60 = 907.26/x
  3. Step 3: Cross multiply
    2,855.06x = 4,282.60 × 907.26
  4. Step 4: Simplify right side
    2,855.06x = 3,885,431.68
  5. Step 5: Solve for x
    x = 3,885,431.68/2,855.06
  6. Step 6: Final answer
    x = 1,360.89

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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.