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Finding the Fourth Proportional to 1,926.06, 2,888.80 and 539.26

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Solution

The fourth proportional to 1,926.06, 2,888.80 and 539.26 is: 808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.06 : 2,888.80 = 539.26 : x
  2. Step 2: Convert to fraction form
    1,926.06/2,888.80 = 539.26/x
  3. Step 3: Cross multiply
    1,926.06x = 2,888.80 × 539.26
  4. Step 4: Simplify right side
    1,926.06x = 1,557,814.29
  5. Step 5: Solve for x
    x = 1,557,814.29/1,926.06
  6. Step 6: Final answer
    x = 808.81

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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.