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Finding the Fourth Proportional to 1,925.75, 2,888.69 and 539.21

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Solution

The fourth proportional to 1,925.75, 2,888.69 and 539.21 is: 808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.75 : 2,888.69 = 539.21 : x
  2. Step 2: Convert to fraction form
    1,925.75/2,888.69 = 539.21/x
  3. Step 3: Cross multiply
    1,925.75x = 2,888.69 × 539.21
  4. Step 4: Simplify right side
    1,925.75x = 1,557,610.53
  5. Step 5: Solve for x
    x = 1,557,610.53/1,925.75
  6. Step 6: Final answer
    x = 808.83

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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.