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Finding the Fourth Proportional to 2,089.16, 3,131.00 and 855.12

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Solution

The fourth proportional to 2,089.16, 3,131.00 and 855.12 is: 1,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.16 : 3,131.00 = 855.12 : x
  2. Step 2: Convert to fraction form
    2,089.16/3,131.00 = 855.12/x
  3. Step 3: Cross multiply
    2,089.16x = 3,131.00 × 855.12
  4. Step 4: Simplify right side
    2,089.16x = 2,677,396.20
  5. Step 5: Solve for x
    x = 2,677,396.20/2,089.16
  6. Step 6: Final answer
    x = 1,281.57

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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.