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Finding the Fourth Proportional to 1,950.55, 2,926.13 and 855.23

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Solution

The fourth proportional to 1,950.55, 2,926.13 and 855.23 is: 1,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.55 : 2,926.13 = 855.23 : x
  2. Step 2: Convert to fraction form
    1,950.55/2,926.13 = 855.23/x
  3. Step 3: Cross multiply
    1,950.55x = 2,926.13 × 855.23
  4. Step 4: Simplify right side
    1,950.55x = 2,502,495.25
  5. Step 5: Solve for x
    x = 2,502,495.25/1,950.55
  6. Step 6: Final answer
    x = 1,282.97

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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.