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Finding the Fourth Proportional to 2,855.33, 4,282.91 and 907.48

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Solution

The fourth proportional to 2,855.33, 4,282.91 and 907.48 is: 1,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.33 : 4,282.91 = 907.48 : x
  2. Step 2: Convert to fraction form
    2,855.33/4,282.91 = 907.48/x
  3. Step 3: Cross multiply
    2,855.33x = 4,282.91 × 907.48
  4. Step 4: Simplify right side
    2,855.33x = 3,886,655.17
  5. Step 5: Solve for x
    x = 3,886,655.17/2,855.33
  6. Step 6: Final answer
    x = 1,361.19

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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.